Free Printable Functions: A Mixed Review Quiz

1.

Evaluate the linear function $f(x) = 3x - 5$ when $f\left(4\right)$ .

a)

$7$

b)

$12$

c)

$-7$

d)

$-1$

2.

Which of the following is a quadratic function?

a)

$f(x) = 2x + 1$

b)

$f(x) = x^2 - 4x + 3$

c)

$f(x) = \sqrt{x}$

d)

$f(x) = \frac{1}{x}$

3.

What is the $y$ -intercept of the function $f(x) = -2x + 6$ ?

a)

$-2$

b)

$6$

c)

$-6$

d)

$2$

4.

Which graph represents a parabola opening upwards?

a)

$f(x) = -x^2 + 2$

b)

$f(x) = x^2 - 3$

c)

$f(x) = -2x + 1$

d)

$f(x) = 3x$

5.

What is the effect of the transformation $f(x) = (x-3)^2$ compared to $f(x) = x^2$ ?

a)

Shifted 3 units up

b)

Shifted 3 units right

c)

Shifted 3 units left

d)

Shifted 3 units down

6.

If $f(x) = 5x - 2$ , what is $f(-1)$ ?

a)

$-7$

b)

$-3$

c)

$3$

d)

$7$

7.

Which function represents a vertical stretch of $f(x) = x^2$ by a factor of 3?

a)

$f(x) = 3x^2$

b)

$f(x) = (x+3)^2$

c)

$f(x) = x^2 + 3$

d)

$f(x) = (3x)^2$

8.

If $f(x) = x^2 - 2x + 1$ , what is $f(0)$ ?

a)

$1$

b)

$-1$

c)

$0$

d)

$2$

9.

A.2A: A part of a linear function g is graphed on the grid.

Which inequalities best describe the comain and range of the part shown?

a)

Domain: -4 < x < 5

Range: -7 < g(x) < 6

b)

Domain:- 7 < x < 6

Range:- 4 < g(x) < 5

c)

Domain: -4 ≤ x ≤ 5

Range:-7 ≤ g(x) ≤ 6

d)

Domain:- 7 ≤ x ≤ 6

Range:- 4 ≤ g(x) ≤ 5

10.

A.2A: Which graph best represents a function with a domain of all real numbers less than or equal to 6?

a)

b)

c)

d)

11.

A.2A: A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Which answer choice best describes the domain and range of the function of this situation?

a)

Domain: All real numbers greater than or equal to 0 and less than or equal to 100

Range: All real numbers greater than or equal to 0 and less than or equal to 50

b)

Domain: {-2}

Range: {100}

c)

Domain: All real numbers greater than or equal to 0 and less than or equal to 50

Range: All real numbers greater than or equal to 0 and less than or equal to 100

d)

Domain: {100}

Range: {-2}

12.

A.3C: Linear function t has an x-intercept of -1 and a y-intercept of 5.

Which graph best represents t?

a)

b)

c)

d)

13.

A.3C: The graph models the linear relationship between the number of monthly payments made on a loan andd the remaining balance in dollars left ot pay on the loan.

Which statement describes the x-intercept of the graph?

a)

The x-intercept is 60, which represents the initial balance in dollars of the loan.

b)

The x-intercept is 27,000 which represents the initial balance in dollars of the loan.

c)

The x-intercept is 60, which represents the number of monthly payments needed to repay the loan.

d)

The x-intercept is 27,000, which represents the number of monthly payments needed to repay the loan.

14.

A.3C: Which graph best represents -5y = -6x + 15?

a)

b)

c)

d)

15.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

16.

What is the y-intercept?

a)

12

b)

-3

c)

8

d)

0

17.

What is the equation for this graph?

a)

y = ⅔ x + 3

b)

y = -⅔ x + 3

c)

y = ⅔ x - 3

d)

y = -⅔ x - 3

18.

Find the graph of the standard form equation: 2x - y = 0

a)

b)

c)

d)

19.

Which graph represents the table?

a)

b)

c)

d)

20.

The graph of f(x) is shown below.

What is the zero of f(x)?

a)

6

b)

-2

c)

3

d)

2

21.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

22.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

23.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

24.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

25.

What is the domain of the parabola created by the ball?

a)

Domain : 0 ≤ d ≤ 280

b)

Domain : 0 ≤ h ≤ 150

c)

Domain : 0 ≤ d ≤ 570

d)

Domain : 0 ≤ h ≤ 280

26.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

27.

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

a)

b)

c)

d)

28.

What are the coordinates of the vertex, and is it a maximum or minimum?

a)

(-1, 4); Maximum

b)

(-1, 4); Minimum

c)

(4, -1); Maximum

d)

(4, -1); Minimum

29.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

30.

Identify the y-intercept

a)

(0, -3)

b)

(0, 1)

c)

(0, 3)

d)

(2, 1)

31.

What key feature tells the initial height of the roller coaster?

a)

y-intercept

b)

x-intercept

c)

axis of symmetry

d)

vertex

32.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

33.

Use the picture to find the vertex and axis of symmetry

a)

Vertex (3,8) Axis x=3

b)

Vertex (3,8) Axis y=3

c)

Vertex (8,3) Axis x=3

d)

Vertex (8,3) Axis y=3

34.

Which parabola would open down?

a)

f(x)=x²

b)

f(x)=-x²+3x-6

c)

f(x) = x²-16

d)

f(x)=2x²-5x+7

35.

Which function is best represented by this graph?

a)

$g\left(x\right)=6x+4$

b)

$g\left(x\right)=4x-\frac{2}{3}$

c)

$g\left(x\right)=-\frac{3}{2}x+6$

d)

$g\left(x\right)=-\frac{2}{3}x+4$

36.

Based on the table, which function models this situation?

a)

$f\left(n\right)=-3n+24$

b)

$f\left(n\right)=-\frac{1}{3}n+16$

c)

$f\left(n\right)=-3n+64$

d)

$f\left(n\right)=-\frac{1}{3}n+8$

37.

Which function represents the same relationship?

a)

$h\left(x\right)=-3x-10.5$

b)

$h\left(x\right)=-x-3.5$

c)

$h\left(x\right)=3x-10.5$

d)

$h\left(x\right)=x-3.5$

38.

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

a)

y = 12.50 + 30x

b)

y = 30 + 12.50x

c)

y = 12.50 + 30

d)

12.50x = 30

39.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to represent this situation.

a)

y = 2x + 15

b)

x = 15y + 2

c)

y = 15x+ 2

40.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

41.

What is the y-intercept of the graph of $h\left(x\right)=85\left(\frac{7}{8}\right)^x?$

(a)

42.

Which graph best represents $y=4\left(1.2\right)^x\ ?$

a)

b)

c)

d)

43.

What is the initial amount, for the function: f(x) = 300(1.16)^x?

(a)

44.

Which graph best represents $y=5\left(\frac{1}{3}\right)^x$ ?

a)

b)

c)

d)

45.

Which statement about the graph of $y=8\left(0.25\right)^x$ is true?

a)

The coordinates of the x-intercept are (0.25 , 0).

b)

The coordinates of the y-intercept are (0 , 8).

c)

The equation of the asymptote is x=0.

d)

The graph includes the point (2 , 1).

46.

What does the a-value of an exponential function tell you about its graph?

a)

The y-intercept.

b)

If the graph is increasing or decreasing.

47.

What does the b-value of an exponential function tell you about its graph?

a)

The y-intercept.

b)

If the graph is increasing or decreasing.

48.

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

a)

f(x) = 7x + 3

b)

f(x) = x + 7

c)

f(x) = 3/2x + 7

d)

f(x) = 2/3x + 7

49.

Which represents the parent function shifted down two units?

a)

f(x) = -2x

b)

f(x) = x - 2

c)

f(x) = x + 2

d)

f(x) = 2x

50.

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 3). Describe the transformation.

a)

g(x) is shifted up 3 units

b)

g(x) is shifted down 3 units

c)

g(x) is shifted left 3 units

d)

g(x) is shifted right 3 units

51.

A student graphed f(x) = x and g(x) = 3f(x) on the same coordinate grid. Which statement describes how the graphs are related?

a)

f(x) is shifted 3 units up to create g(x)

b)

f(x) is less steep than g(x)

c)

f(x) is steeper than g(x)

d)

The graphs are the same.

52.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

53.

Is this a function or not a function?

a)

Function

b)

Not a Function

54.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

55.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

56.

a)

Function; it passes the vertical line test

b)

Not a Function; it fails the vertical line test

57.

Which of the following is NOT a function?

a)

b)

c)

d)

58.

Evaluate f(x)=-2x+13 for f(-4)

a)

21

b)

-8

c)

5

d)

7

59.

If f(x)=6x²-4,
what is f(-1)?

a)

-2

b)

13

c)

2

d)

0

Functions: A Mixed Review Quiz

Total questions: 59

Worksheet time: 5hrs 53mins

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