Free Printable HPC Final Exam Review

1.

Name the Parent Function shown.

a)

Reciprocal

b)

Cuberoot

c)

Sine

d)

Squareroot

2.

State if the function is Even or Odd

a)

Even

b)

Odd

3.

State if the function is Even or Odd

a)

Even

b)

Odd

4.

State if the function is Even or Odd

a)

Even

b)

Odd

5.

Solve $\left(3x-7\right)\left(2x-8\right)=0$ for x

a)

$x=-\frac{7}{3}$ or $x=4$

b)

$null$ or $x=-4$

c)

$x=\frac{7}{3}$ or undefined

d)

$x=\frac{7}{3}$ or $x=-4$

6.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

7.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

8.

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(-1\right)?$

a)

13

b)

8

c)

16

d)

answer not here

9.

When is this function increasing?

a)

(-3, 3)

b)

(-2.5, 2.5)

c)

[-3, 3]

d)

(3, ∞)

10.

Which of the following statement are false.

a)

There is a relative min at the point (8,0)

b)

There is another relative min at the point (0,-7.5)

c)

There is a relative max at the point (5,2.5)

d)

There are more relative maximums than there are relative minimums.

11.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

12.

Given

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

13.

$f\left(x\right)=x+4$
$g\left(x\right)=2x^2-1$
$Find\left(f\cdot g\right)(x)$

a)

$2x^3+8x^2-x-4$

b)

$-2x^3+8x^2+x-4$

c)

$6x^2-6$

d)

$-3x^3+10x^2+8x$

14.

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

a)

g(f(x))= -6x²+31

b)

g(f(x))= 18x² + 90

c)

g(f(x))=18x²-84x+90

d)

g(f(x))=9x²-42x-1

15.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

16.

Find the inverse
$f\left(x\right)=x^4\ -\ 2$

a)

$f^{-1}\left(x\right)\ =\ ^4\sqrt{x+2}$

b)

$f^{-1}\left(x\right)\ =\ \left(x\ +2\right)^{4\ }$

c)

$f^{-1}\left(x\right)\ =\ -2x^{4\ }$

d)

$f^{-1}\left(x\right)=^4\sqrt{2x}$

17.

a)

x=-1,-7,-5,-3

b)

x=-1,-5

c)

x=-7,-3

d)

x=-4+i, -4-i, -4+√27, -4-√27

18.

State the domain

a)

All real numbers except -1

b)

All real numbers greater than or equal to -1

c)

All real numbers less than or equal to -1

d)

All real numbers great than -1

e)

All real numbers less than -1

19.

State the domain:

a)

All real numbers except -7

b)

All real numbers except 7

c)

All real numbers greater than 7.

d)

All real numbers less than -7

20.

a)

-10

b)

3

c)

4

d)

5

21.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

22.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

23.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

24.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

25.

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^twhere t is the number of years since 1990. What was the population in 1990?

a)

0 people

b)

It doesn't say

c)

I don't know

d)

6191

26.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

27.

$16=4^{2x-12}$

a)

5

b)

7

c)

2

d)

4

28.

Lance is a diver. He dives into a body of water while his friend calculates his trajectory under the water. His depth (in meters relative to sea level), x seconds after diving, is modelled by the function: $d\left(x\right)=\frac{1}{2}x^2-10x$
How many seconds after diving will Lance hit his lowest altitude?

a)

5

b)

10

c)

15

d)

20

29.

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

a)

1

b)

2

c)

3

d)

4

30.

What are the x-intercepts of the polynomial
y = 3 (x + 4) (x + 1) (x - 3)?

a)

-4, -1, 3

b)

3, -3, 4, 1

c)

4, 1, -3

d)

3, -4, -1, 3

31.

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

a)

Vertical Compression by a factor of 2

b)

Vertical Stretch by a factor of 2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

32.

If g(x) is a transformation of f(x), describe the transformation.

$f\left(x\right)=0.4^x-1$
$g\left(x\right)=0.4^x-2$

a)

Down 1 unit

b)

Down 2 units

c)

Up 1 unit

d)

Up 2 units

33.

Money in a bank triples every 8 years. If $100 is deposited today, what will it's value be after 32 years?

a)

$8,500

b)

$8,100

c)

$1,600

d)

$400

34.

If f is a function whose graph is the parabola shown, then f(x) < 0 whenever:

a)

x<1 or x>3

b)

x<1

c)

x>3

d)

1<x<3

35.

If log₂(x-6)=6 then x=

a)

70

b)

64

c)

58

d)

36.

Of the following, which best represents the graph of x²+(y-1)²=1

a)

a

b)

b

c)

c

d)

d

37.

The slope of the line that goes through the points (-5,4) and (3,-12) is

a)

-1/2

b)

8

c)

-2

d)

4

38.

Find all solutions to the equation 3x²=4x+1

a)

4/3, 1/3

b)

c)

d)

39.

In the standard coordinate system, the graph of the equation y = -3x+7 is

a)

a line falling to the right

b)

a line rising to the right

c)

a horizontal line

d)

not a line

40.

This inequality is equivalent to:

a)

b)

c)

d)

41.

What is the distance between the points (-2,6) and (1,2)?

a)

11

b)

7

c)

6

d)

5

42.

What is the radian measure of an angle whose degree measure is 240 degrees?

a)

π/3

b)

2π/3

c)

3π/4

d)

4π/3

43.

csc(30^ₒ)

a)

2

b)

c)

d)

44.

In the figure shown, if sin(R) = 5/8 and r=2, then what is q?

a)

16/5

b)

5/4

c)

5

d)

5/16

45.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

46.

Which equation matches the graph?

a)

y = 2x + 3

b)

y = -3

c)

y = 2x - 3

d)

y = -3x + 2

47.

Which graph matches the equation?

a)

A

b)

B

c)

C

d)

D

48.

a)

A

b)

B

c)

C

d)

D

49.

Given -4 is a zero, find all other zeros
f(x) = x³+4x²+9x+36

a)

x = -2, 2

b)

x = -3, 3

c)

x = -2i, 2i

d)

x = -3i, 3i

50.

Find the inverse

a)

A

b)

B

c)

C

d)

D

51.

Find ALL Asymptotes

a)

A

b)

B

c)

C

d)

D

52.

Which of the following is false?

a)

A

b)

B

c)

C

d)

D

53.

To prepare for a recent road trip, Jill filled up her 19-gallon tank. She estimates that her SUV will use about three gallons per hour. Write an equation to model the amount of gasoline, G, remaining in her tank after t hours.

a)

G=19 – 3t

b)

G=19 + 3t

c)

G=3 - 19t

d)

G=3 + 19t

54.

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

55.

Find the slope of:
(1,8) and (3,12)

a)

2

b)

1/2

c)

9/7

d)

-2

56.

Graph. y = -4

a)

b)

c)

d)

57.

Graph. x = 1

a)

b)

c)

d)

58.

What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?

a)

$y\ =\ 0.25x+3$

b)

$y\ =\ 0.25x-4.5$

c)

$y=4x+18$

d)

$y=4x-42$

59.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

60.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

61.

Choose the linear equation that is perpendicular to the following line

$y=-\frac{1}{4}x-1$

a)

$y=-\frac{1}{4}x+5$

b)

$y=\frac{1}{4}x-1$

c)

$y=-4x-1$

d)

$y=4x-3$

62.

What is the equation of the function in the graph?

a)

$f(x)=∣x-3∣-2$

b)

$f(x)=-∣x+3∣+2$

c)

$f(x)=-∣x-3∣-2$

d)

$f(x)=∣x+3∣+2$

63.

When you translate a function,the mapping rule (x,y)-> (x-4,y) will move the function _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

64.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

65.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

66.

Given $f\left(x-3\right)+5$ . What transformations took place from the original function f(x)?

a)

Left 3 and up 5

b)

Right 3 and down 5

c)

Left 3 and down 5

d)

Right 3 and up 5

67.

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

a)

-f(x)

b)

f(-x)

c)

f^-1(x)

d)

f(2x)

68.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

69.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical compression

c)

vertical stretch

d)

Right 2 Units

70.

Describe the transformation from dotted to solid.

a)

-f(x)

b)

f(x +4)

c)

f(x) - 4

d)

f(-x)

71.

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

a)

reflected over x axis, stretched by 2, right 3, up 3

b)

reflected over x axis, stretched by 2, left 3 up 3.

c)

reflected over x axis, shrunk by 2, right 3, up 3

d)

reflected over the x axis, shrunk by 2, left 3, up 3

72.

x+2 is a factor of which polynomial?

a)

$4x^2-16x+15$

b)

$x^3-2x+4$

c)

$x^3-x^2-8x+12$

d)

$x^3+3x^2+3x-8$

73.

Evaluate $\log_{\sqrt{3}} 81$ .

a)

8

b)

9

c)

27

d)

2

74.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

75.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

76.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

77.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

78.

Is this exponential growth or decay?

a)

Growth

b)

Decay

79.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

80.

Write as a single logarithm:

log16 + log2 - log8

a)

log4

b)

log8

c)

log10

d)

log24

81.

Evaluate $\log_mm^{2n}$ .

a)

$n$

b)

$n^2$

c)

$mn$

d)

$2n$

82.

$g\left(x\right)=-7x^5+7$ Find the inverse of the function.

a)

$g^{-1}\left(x\right)=^5\sqrt{\frac{x-7}{7}}$

b)

$g^{-1}\left(x\right)=-^5\sqrt{\frac{x-7}{7}}$

c)

$g^{-1}\left(x\right)=^5\sqrt{-\frac{x-7}{7}}$

d)

$g^{-1}\left(x\right)=-^5\sqrt{\frac{x-7}{7}}$

83.

What are the coordinates of the hole, if one exists.

a)

$\left(-1,\ -2\right)$

b)

$\left(-1,\ \frac{1}{2}\right)$

c)

$\left(-1,\ -\frac{1}{2}\right)$

d)

$\left(3,\ -1\right)$

e)

there is no hole

84.

What is the distance between (-5, 3) and (4, -5)?

a)

$\sqrt{-145}$

b)

$\sqrt{145}$

c)

145

d)

-145

85.

Find the distance between ( 1, 3) and (5, 6)

(a)

86.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

87.

What is the inverse of the function f(x)=x+2

a)

f⁻¹(x) = x-2

b)

f⁻¹(x) = x+2

c)

f⁻¹(x) = -x+2

d)

f⁻¹(x) = -x-2

88.

When creating an inverse you must...

a)

Switch the x and y

b)

Solve for x

c)

Draw a graph

d)

drop that NaeNae

89.

Given f(x) = x+3, find f(-2).

a)

-1

b)

1

c)

5

d)

-5

90.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

91.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

92.

Rewrite tan(x) in terms of sin(x) and cos(x).

a)

tan(x) = cos(x)/sin(x)

b)

tan(x) = 1/cot(x)

c)

tan(x) = sin(x)/cos(x)

d)

tan(x) = opp/adj

93.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

94.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

95.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

96.

What is m(2) if:

a)

-3

b)

0.5

c)

-1

d)

-3.5

97.

Is this table a function and how can you tell?

a)

Yes its a function because there are not variables for missing numbers

b)

No it's not a function because the y value 4 repeated

c)

No it isn't a function because the x value 2 is repeated

d)

No it's not a function because the x value 5 has 2 outputs.

98.

Translate the following statement into an ordered pair:

f(2) = -3

a)

(-3, 2)

b)

(2, -3)

c)

(f(2), -3)

d)

(-3, f(2))

99.

f(x) = x²+ 6 ; find x when f(x) = 262

a)

16

b)

-24

c)

256

d)

None of these

100.

a)

-20

b)

20

c)

-24

d)

24

101.

What does f(x) represent?

a)

x

b)

y

c)

m

d)

b

102.

Which parent function is this? f(x)= 2^x

a)

Linear

b)

Quadratic

c)

Cubic

d)

Rational

e)

Exponential

103.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

a)

34

b)

71

c)

35

d)

142

104.

Write the interval notation for

6\le x

a)

$\left(6,\infty\right)$

b)

$\left(-\infty,\ 6\right]$

c)

$\left[6,\infty\right)$

d)

$\left[6,\infty\right]$

105.

Write the inequality in interval notation $-2\le x<5$

a)

$\left(-2,5\right)$

b)

$\left(-2,5\right]$

c)

$\left[-2,5\right]$

d)

$\left[-2,5\right)$

106.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

107.

Rewrite log₂8 = 3 in exponential form

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

108.

Write in exponential form.
log₂(¹/₈) = -3

a)

2^-3 = ¹/₈

b)

2^1/8= -3

c)

-3² = ¹/₈

d)

-3^1/8 = 2

109.

To evaluate a logarithm statement log₉81, you think "9 to what power is 81".

a)

True, and it's 2

b)

False

110.

Evaluate the log by thinking " 3 to what power is 1/9" so

log₃(1/9) =

a)

1/2

b)

2

c)

-2

d)

3

111.

True or False: log₈64=2

a)

True

b)

False

112.

Rewrite log₂8 = 3 in exponential form.

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

113.

Write 2³= 8 in logarithmic form.

a)

log₂ 8 = 3

b)

log₂ 3 = 8

c)

log₃ 8 = 2

d)

log₃ 2 = 8

114.

Write log₆ 216 = 3 in exponential form.

a)

3⁶=216

b)

6³=216

c)

216⁶=3

d)

3²¹⁶=6

115.

Evaluate log₇ 343

a)

3

b)

49

c)

7

d)

1

116.

Evaluate log₈ 8

a)

8

b)

-1

c)

0

d)

1

117.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

118.

Evaluate: log₆₄4 = x

a)

x = 3

b)

x = -3

c)

x = ⅓

d)

x = -⅓

119.

Rewrite log₂8 = 3 in exponential form.

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

120.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

121.

What type of function is shown?

a)

cube root

b)

square root

c)

logarithm

d)

exponential

122.

Which parent function matches the graph?

a)

y = |x|

b)

y = x

c)

y = x²

d)

y = 2^x

123.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

124.

If the blue function is f(x)=x², then the red function must be

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

125.

Write in logarithmic form.
5² = 25

a)

log₅2 = 25

b)

log₂25 = 5

c)

log₂₅5 = 2

d)

log₅25 = 2

126.

Factor:
x² - 9

a)

(x + 3)(x - 3)

b)

(x + 3)²

c)

(x - 3)²

d)

(x+3)(x+3)

127.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

No triangle ever

128.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

129.

Use the quadratic formula to solve $x^2-2x-2=0$

a)

$-2\pm\sqrt[]{3}$

b)

$1\pm\sqrt[]{12}$

c)

$1\pm\sqrt[]{3}$

d)

$-1\pm\sqrt[]{3}$

130.

Given $f\left(x\right)\ =x^2\ and\ g\left(x\right)\ =x-2.\ Find\ f\left(g\left(x\right)\right).$

a)

$x^2-4x+4$

b)

$x^2-4$

c)

$x^2+4x-4$

d)

$x-2$

131.

What is the value of $f\left(x\right)$ when $x=-2$

$f\left(-2\right)=$

a)

5

b)

-7

132.

Given f(x)=2x+25, find f(5).

a)

f(5) = 60

b)

f(5) = 40

c)

f(5) = -15

d)

f(5) = 35

133.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

134.

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

a)

16

b)

4

c)

-4

d)

None of these.

135.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

None of these.

136.

What is f(g(3))?

a)

1/8

b)

8

c)

1/4

d)

1/2

137.

a)

9 - √17

b)

4

c)

2

d)

√8

138.

f(x) = x² + 3
g(x) = 4x - 3
Find (fg)(-1)

a)

4

b)

-52

c)

-4

d)

52

139.

(L3) Given f(x)= x²+ 25 and g(x)= x - 5, find (f+g)(x).

a)

x²+ x - 20

b)

x²+ x + 20

c)

-x²+ x - 20

d)

x²- x - 20

140.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

141.

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

a)

9x² - 6x + 1

b)

3x - 1

c)

3x² - 1

d)

9x² - 1

142.

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

143.

f(x) = 3x² - 2x + 1 and g(x) = x - 4. What restrictions, if any, are there for (f/g)(x)?

a)

no restrictions

b)

x ≠ -4

c)

x ≠ 4

d)

x ≠ 0

144.

If g(x) = 4x + 5 and f(x) = 3x + 4, find:

g(x) - f(x)

a)

7x + 1

b)

x + 1

c)

x + 9

d)

2x + 3

145.

If f(x) = x²-7x+12 and g(x) = x-3, find (f(x))/(g(x)).

a)

x - 4

b)

x + 4

c)

x - 3

d)

x + 3

146.

What is the domain of fog(x) if f(x)=√x and g(x) = x-3

a)

all real numbers

b)

all except zero

c)

¨from 3 to infinite

d)

from negative infinite to 3

147.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

148.

What is the predicted end behavior of: y=-2x⁴+3x-1

a)

up on both ends

b)

down on both ends

c)

up on left, down on right

d)

down on left, up on right

149.

Decide if (x-3) is a factor of 3x³+10x²-x-12

a)

Yes, it is a factor

b)

No, it is not a factor

150.

Match the equation to the graph.

a)

y=-(x+1)(x-2)(x-4)

b)

y=(x+1)²(x-3)(x-1)³

c)

y = 3x³ – 2x + 1

d)

y=(x+1)³(x-3)(x-1)²

151.

Describe the polynomial graphed

a)

5th degree polynomial
positive leading coefficient

b)

5th degree polynomial
negative leading coefficient

c)

4th degree polynomial
positive leading coefficient

d)

4th degree polynomial
negative leading coefficient

152.

Write the following in interval notation
x > 6 and x ≤ 10

a)

(-∞, 6) and (10, ∞)

b)

[6, 10)

c)

(-∞, 6] and [10, ∞)

d)

(6, 10]

153.

Express the following interval in inequality notation:

(-7, 15]

a)

-7 ≤ x ≤ 15

b)

-7 < x ≤ 15

c)

-7 ≤ x < 15

d)

-7 < x < 15

154.

Using the pictured graph, what is f(2)?

a)

-2

b)

0

c)

3

d)

2

155.

Over what interval is this function constant?

a)

( - ∞ , 2 )

b)

( - ∞ , 2 ]

c)

[ 2 , ∞ )

d)

( 2 , ∞ )

156.

Over what interval is the function increasing?

a)

( - ∞ , -4 ) U ( 2 , ∞ )

b)

( 2 , ∞ )

c)

( - ∞ , -4 ) U [ 2 , ∞ )

d)

( -4 , 2 )

157.

What is the range of the function?

a)

( - ∞ , 2 )

b)

( - ∞ , 2 ]

c)

( - ∞ , - 3 ) U ( - 3 , 2 )

d)

( - ∞ , - 3 ) U ( - 3 , 2 ]

158.

What is the domain of the function?

a)

( - ∞ , - 5 ) U ( - 5 , ∞ )

b)

( - ∞ , 5 ) U ( 5 , ∞ )

c)

( - ∞ , - 5 ] U [ - 5 , 5 ] U [ 5 , ∞ )

d)

( - ∞ , - 5 ) U ( - 5 , 5 ) U ( 5 , ∞ )

159.

The 12-foot-long bed of a dump truck loaded with debris must rise to an angle of 30° before the debris will spill out. The bed of the truck is 4 feet off the ground. Approximately how high off the ground must the front of the bed rise for the debris to spill out?

HPC Final Exam Review

Total questions: 159

Worksheet time: 3hrs 39mins

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