Free Printable M4U2T2R2 Unit 2 Functions Practice Test

1.

Which of the following best describes the continuity at x = 2?

a)

Jump Discontinuity

b)

Removable Discontinuity

c)

Continuous

d)

Infinite Discontinuity

2.

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

a)

Continuous

b)

Removable Discontinuity

c)

Infinite Discontinuity

d)

Jump Discontinuity

3.

At which x-value is there a jump discontinuity?

a)

$x=-3$

b)

$x=-6$

c)

$x=1$

d)

$x=2$

4.

Which of the following best describes the continuity at x = -4?

a)

Continuous

b)

Removable Discontinuity

c)

Infinite Discontinuity

d)

Jump Discontinuity

5.

Which piecewise function corresponds to this graph? (Take your time)

a)

f(x) = { x if x < 4; -x+1 if x ≥ 4

b)

f(x) = { x if x ≤ 4; -x+1 if x > 4

c)

f(x) = { -x+1 if x < 4; x if x ≥ 4

d)

f(x) = { -x+1 if x ≤ 4; x if x > 4

6.

What is f(6)?

a)

20

b)

33

c)

3

d)

3, -3

7.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

8.

What are the domain restrictions for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

9.

What is f(2)?

a)

0

b)

-5

c)

-2

d)

1

10.

The amount Lea can earn at her job is shown:
She earns $7 per hour for the first 40 hours.
She earns 1.5 times the hourly wage for every hour over 40 hours.
Which piecewise-defined function best represents Lea’s weekly pay, P(h), where h represents the hours worked?

a)

P(h)= 7h, 0≤h≤40
P(h)=10.5h−140, h>40

b)

P(h)= 7h, 0<h<40
P(h)= 10.5h−140, h>40

c)

P(h)= 7h, 0≤h≤40
P(h)= 10.5h+140, h≥40

d)

P(h)= 7h, 0<h<40 P(h)= 10.5h+140, h≥40

11.

Evaluate: $h\left(x\right)=2x+2;\ Find\ h\left(-7\right)$

a)

-10

b)

-12

c)

-16

d)

6

12.

Evaluate: $h\left(x\right)=2x+2;\ Find\ h\left(-7\right)$

a)

-10

b)

-12

c)

-16

d)

6

13.

g\left(x\right)=3x-1\

and

h\left(x\right)=2x+3

Find:

\left(\frac{g}{h}\right)\left(2\right)

a)

$\frac{5}{7}$

b)

$\frac{7}{5}$

c)

$\frac{29}{23}$

d)

$\frac{1}{7}$

14.

$f\left(n\right)=3n+2$ and $g\left(n\right)=-3n-4$ Find: $\left(f+g\right)\left(-10\right)$

a)

-2

b)

91

c)

52

d)

31

15.

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

a)

160

b)

100

c)

28

d)

6

16.

$g\left(x\right)=2x-3$ and $h\left(x\right)=x^3-x$ Find: $\left(g+h\right)\left(x\right)$

a)

$-x^3-x-3$

b)

$x^3+x-3$

c)

$-5x-2$

d)

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

17.

$f\left(x\right)=3x^2-4$ and $g\left(x\right)=3x+4$ Find: $\left(f\cdot g\right)\left(x\right)$

a)

$9x^3+12x^2-12x-16$

b)

$9x^2+9x$

c)

$4x^4+16x^2$

d)

$-9x^3+12x^2+12x-16$

18.

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

a)

19

b)

23

c)

-10

d)

None of these.

19.

What is f(g(3))?

a)

1/8

b)

8

c)

1/4

d)

1/2

20.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

a)

-14

b)

20

c)

6

d)

7

21.

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

22.

f(1) =

a)

-1

b)

1

c)

2

d)

-2

23.

f(h(-4)) =

(a)

24.

g(f(2)) =

(a)

25.

h(g(-3)) =

(a)

26.

g(h(-4)) =

(a)

27.

Find $f\left(g\left(-1\right)\right)$

a)

-7

b)

-4

c)

0

d)

2

28.

Find $g\left(f\left(0\right)\right)$

(a)

29.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

30.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

31.

If Gold's Gym is looking to buy 30 TVs, how much will each one cost?

a)

400

b)

750

c)

1250

d)

0

32.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

33.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

The more books students read, the lower their English grade.

b)

The more books students read, the higher their English grade.

c)

The fewer books students read, the higher their English grade.

d)

No relationship exists between the number of books students read and their English grades.

34.

Data is collected comparing sales of cars and the age of the salesperson. After analyzing the data, it is determined that the correlation coefficient is 0.19. What does this mean?

a)

There is little to no correlation between sales and age of the salesperson.

b)

There is a strong positive correlation between sales and age of the salesperson.

c)

There is a strong negative correlation between sales and age of the salesperson.

d)

There is a weak negative correlation between sales and age of the salesperson.

35.

Estimate the correlation coefficient for this scatterplot.

a)

r = 1.2

b)

r = 0.89

c)

r = 0

d)

r = -0.89

36.

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

a)

$4403

b)

$4673

c)

$8483

d)

$6443

37.

What is the y-intercept in the following equation: y= -5 - 4x?

a)

-4

b)

-4x

c)

5

d)

-5

38.

What is the slope in the following equation: y= 6 - 2/3x?

a)

2/3

b)

6

c)

-6

d)

-2/3

39.

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.

a)

10 miles

b)

617.5 miles

c)

0.19 miles

d)

500 miles

40.

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

a)

-18x² + 2.11x + 4.21

b)

-.06x²+1.06x + 7.9

c)

-6x²+1.06x + 79

d)

-.12x² + 2.11x + 4.22

41.

What is the exponential regression equation?

a)

y =988.873(1.04826)^x

b)

y =999.973(1.04926)^x

c)

y =999.973(0.04926)^x

d)

y =898.973(0.04926)^x

42.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

43.

Residuals are . . .

a)

possible models not explored by the researcher

b)

variation in the response variable that is explained by the model

c)

the difference between the observed response and the values predicted by the model

d)

data collected from individuals that is not consistent with the rest of the group

44.

r=-0.89

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

45.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data in the form y = a + bx.

a)

y = 12 + 1.5x

b)

y = 1.5 + 12x

c)

y = -8 + 0.67x

d)

y = 0.67 - 8x

46.

How much does a pizza cost that has eight toppings?

a)

$8

b)

$12

c)

$24

d)

$28

M4U2T2R2 Unit 2 Functions Practice Test

Total questions: 46

Worksheet time: 8hrs 0mins

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