Free Printable MP. 1 Quiz 5 - Take Home PreCalculus

1.

$f\ \circ\ g\ \left(x\right)$

a)

$4x^2+2x$

b)

$4x^2-2x\ +2$

c)

$2x^3-x^2-x$

d)

$2x^3-3x^2-x$

2.

Identify the domain:
f(x) = 1 / (x - 5)
OR f(x) = (x - 5)^-1

a)

[5, oo)

b)

(5, oo)

c)

(-oo, oo)

d)

x ≠ 5

3.

What is m(4) if:

a)

-3

b)

0.5

c)

0

d)

-3.5

4.

Which parent function matches the graph?

a)

f(x) = a⋅b^x

b)

f(x) = ∛(x)

c)

f(x) = √(x)

d)

f(x) = x²

5.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

6.

What is the factored form of 5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

7.

Express the following in Interval Notation
-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

8.

Write the following in set-builder notation

All real numbers that greater than or equal to 5

a)

$\left\{x|-\infty<x<\infty\right\}$

b)

$\left\{x|-5<x<5\right\}$

c)

$\left\{x|x\ge5\right\}$

d)

$\left\{x\ |\ x>5\right\}$

9.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

10.

a)

Function

b)

Not a Function

11.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

12.

What is a function?

a)

For every input, there is exactly one output.

b)

For every output, there is exactly one input.

c)

When there is a polynomial expression

d)

When the degree of the polynomial is even.

13.

What is the RANGE?

a)

-4 ≤ x ≤ 1

b)

-4 ≤ y ≤ 1

c)

-2 ≤ x ≤ 3

d)

-2 ≤ y ≤ 3

14.

Find the domain for the function. f(x)= 2x -1 / 3x + 6

a)

x cannot equal to 2

b)

x cannot equal to -2

c)

x cannot equal to 3

d)

All real numbers

15.

What is the domain and range?

a)

D : $\left(-\infty,-3\right)\cup\left(-3,\infty\right)$
R: $\left(-\infty,1\right)\cup\left(1,\infty\right)$

b)

D : $\left(-\infty,1\right)\cup\left(1,\infty\right)$
R: $\left(-\infty,-3\right)\cup\left(-3,\infty\right)$

c)

D : $\left(-\infty,3\right)\cup\left(3,\infty\right)$
R: undefined

d)

D: $\left(-\infty,-1\right)\cup\left(-1,\infty\right)$
R: $\left(-\infty,3\right)\cup\left(3,\infty\right)$

16.

What is the domain and range?

a)

D:\ \left(-\infty,2\right)\cup\left(2,\infty\right)

R:\ \left(-\infty,1\right)\cup\left(1,\infty\right)

b)

$D:\ \left(-\infty,1\right)\cup\left(1,\infty\right)$
$R:\ \left(-\infty,2\right)\cup\left(2,\infty\right)$

c)

$null$
$R:\ \left(-\infty,\frac{1}{2}\right)\cup\left(\frac{1}{2},\infty\right)$

d)

$D:\ \left(-\infty,-2\right)\cup\left(-2,\infty\right)$
$R:\ \left(-\infty,-1\right)\cup\left(-1,\infty\right)$

17.

State if the given functions are inverses. #5

a)

yes

b)

no

18.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through? #14

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

19.

Which pairs of the following functions are inverses? #15

a)

b)

c)

d)

e)

20.

Find the inverse of the function including any restriction on the domain. #16

a)

f^-1 = x³ − 5, x ≥ 5

b)

f^-1 = x³ + 5, x ≥ 0

c)

f^-1 = x³ + 5

d)

Inverse does not exist

21.

Which of the following is NOT TRUE about inverse functions? #26

a)

Inverse functions are reflections of each other over the line y = x.

b)

You find the inverse by switching x and y in the equation.

c)

The domain of a function always becomes the domain of its inverse.

d)

The domain of a function always becomes the range of its inverse.

22.

A function has an inverse function if... #34

a)

It passes the Vertical Line Test

b)

It fails the Horizontal Line Test

c)

It passes the Horizontal Line Test

d)

It fails the Vertical Line Test

23.

Which graph represents the functions f(x) and f^-1(x)? #32

a)

b)

c)

d)

24.

a)

6x² - 1

b)

6x - 3

c)

5x - 1

d)

6x² - 3x

25.

What is the location of the absolute maximum for the graphed function?

a)

x = 1

b)

x = 3

c)

x = 4

d)

x = 5

e)

Does Not Exist

26.

How many extrema are there in this graph?

a)

2 max, 2 min

b)

3 max, 2 min

c)

2 man, 3 min

d)

3 increasing intervals, 2 decreasing intervals

e)

2 increasing intervals, 3 decreasing intervals

27.

How many extrema (max and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

28.

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

29.

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

30.

What is the vertex for the parabola represented by the equation
y = 2(x + 3)² - 8?

a)

(3, 8)

b)

(3, -8)

c)

(-3, 8)

d)

(-3, -8)

31.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

32.

Describe the transformation of the equation below from the absolute value parent function
$y=-2\left|x-3\right|+3$

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

33.

Write the equation for a graph that is vertically compressed by a factor of $\frac{2}{5}$ and shifted right 6.

a)

$y=6\left|x\right|-\frac{2}{5}$

b)

$y=\frac{2}{5}\left|x\right|+\ 6$

c)

$y=\frac{2}{5}\left|x+6\right|$

d)

$y=\frac{2}{5}\left|x-6\right|$

34.

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

a)

Vertically stretched by a factor of 2, right 3, and up 1

b)

Vertically compressed by a factor of 1/2, left 3 and down 1

c)

Vertically compressed by a factor of 1/2, right 3, and down 1

d)

Vertically stretched by a factor of 2, left 3, and up 1

35.

What is the transformation?

a)

Vertical Translation up 1

b)

Vertical Translation down 1

c)

Horizontal Translation left 1

d)

Horizontal Translation right 1

36.

Which of the following best describes the continuity at x = 1?

a)

Continuous

b)

Removable Point Discontinuity

c)

Non-removable Infinite Discontinuity

d)

Non-removable Jump Discontinuity

37.

Which of the following best describes the continuity at x = 1?

a)

Continuous

b)

Removable Point Discontinuity

c)

Non-removable Infinite Discontinuity

d)

Non-removable Jump Discontinuity

38.

in what value of x does the following function is discontinuous?

a)

3

b)

-3

c)

6

d)

-6

39.

In what interval does the following function is continuous?

a)

(-∞,-2)u(-2,∞)

b)

[-2,2]

c)

(-2,2)

d)

(-∞,-2]u[-2,∞)

40.

The graph of f(x) is shown.

f(1)=

a)

DNE

b)

4

c)

-2

d)

2

41.

Which of the following best describes the continuity at x = 5?

a)

Continuous

b)

Removable Point Discontinuity

c)

Non-removable Infinite Discontinuity

d)

Non-removable Jump Discontinuity

42.

Classify the function as continuous or classify its discontinuity.

a)

Continuous!

b)

Discontinuous with a removable discontinuity

c)

Discontinuous with a jump discontinuity

d)

Discontinuous with an infinite discontinuity

43.

Find the limit as x approaches 0 of

f(x)=5x +2

a)

0

b)

DNE

c)

7

d)

2

MP. 1 Quiz 5 - Take Home PreCalculus

Total questions: 43

Worksheet time: 2hrs 49mins

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