Quiz about Key Features of Linear, Quadratic, Exponential Functions

Question 1

The graph of a linear function is shown on the grid. What value best represents the y-intercept of the line?

Accepted Answer

-2

Answer

-3/2

Answer

2/3

Answer

3

Question 2

The graph of a linear function, f, is shown. What is the zero of f?

Accepted Answer

2

Answer

3

Answer

3

Answer

6

Question 3

The graph of a linear function is shown on the grid. What are the x-intercept and the y-intercept of the line?

Accepted Answer

x-intercept: (-2, 0), y-intercept: (0, 8)

Answer

x-intercept: (8, 0), y-intercept: (0, -2)

Answer

x-intercept: (-2, 0), y-intercept: (0, 4)

Answer

x-intercept: (4, 0), y-intercept: (0, 8)

Question 4

Which graph best represents y = -4(x + 3) - 2?

Accepted Answer

Question 5

Linear function k has a zero of -2 and a y-intercept of 6. Which graph best represents k?

Accepted Answer

Question 6

The graph of linear function g passes through the points (-7, -4) and (7, 6). What are the slope and y-intercept of the graph of g?

Accepted Answer

The slope is $$\frac{5}{7}$$ , and the y-intercept is 1.

Answer

The slope is $$\frac{5}{7}$$ , and the y-intercept is -1.

Answer

The slope is $$\frac{7}{5}$$ , and the y-intercept is -1.

Answer

The slope is $$\frac{7}{5}$$ , and the y-intercept is 1.

Question 7

Linear function t has an x-intercept of -1 and a y-intercept of 5. Which graph best represents t?

Accepted Answer

Question 8

The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan. Which statement describes the x-intercept of the graph?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 9

The graph of linear function k passes through the points (-7, 0) and (1, 8). Which statement must be true?

Accepted Answer

The x-intercept of the graph of k is -7.

Answer

The slope of the graph of k is 4/3.

Answer

The graph of k passes through the point (-1, -8).

Answer

The zero of k is 7.

Question 10

The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured. Which statement best describes the y-intercept of the graph?

Accepted Answer

The initial water level was 16 ft.

Answer

The water level increased by 0.25 ft per day.

Answer

The maximum water level was 19.5 ft.

Answer

The water level was measured for 14 days.

Question 11

Which line appears to have an x-intercept of -5 and a y-intercept of 3?

Accepted Answer

Question 12

A lifeguard earns $320 per week for working 40 hours plus $12 per hour worked over 40 hours. A lifeguard can work a maximum of 60 hours per week. Which graph best represents the lifeguard's weekly earnings in dollars for working h hours over 40?

Accepted Answer

Question 13

The graph of a function is shown on the grid. Which ordered pair best represents the location of the y-intercept?

Accepted Answer

(0, -2)

Answer

(1/3, 0)

Answer

(0, 1/3)

Answer

(-2, 0)

Question 14

The graph of linear function g is shown on the grid. What is the zero of g?

Accepted Answer

-6

Answer

-9

Answer

-3

Answer

8

Question 15

What is the y-intercept of the line graphed on the grid?

Accepted Answer

5.5

Answer

7

Answer

6

Answer

22/3

Question 16

Which graph shows a line with an x-intercept of -5?

Accepted Answer

Question 17

Which graph best represents a quadratic function that has no real zeros?

Accepted Answer

Question 18

The graph of a quadratic function is shown on the grid. Which statement appears to be true?

Accepted Answer

The equation of the axis of symmetry of the graph of the function is x = 1.

Answer

The function has 3 zeros.

Answer

The maximum value of the function is 3.

Answer

The vertex of the graph of the function is (4, 1).

Question 19

The graph of a quadratic function is shown. Which values best represent the zeros of the function?

Accepted Answer

x=-1

Accepted Answer

x=3

Answer

x=1

Answer

x=-4

Answer

x=-3

Question 20

The graph of a quadratic function r is shown on the grid. Which answer choice best represents the intercepts of the graph of r?

Accepted Answer

x-intercepts: (-10,0) and (2,0)

y-intercepts: (0,-5)

Answer

x-intercept: (5,0)

y-intercepts: (0,10) and (0,-2)

Answer

x-intercept: (0,-10) and (0,2)

y-intercepts: (-5,0)

Answer

x-intercept: (0,5)

y-intercepts: (10,0) and (-2,0)

Question 21

Which graph best represents $$h\left(x\right)=\left(x+1\right)\left(x-3\right)$$ ?

Accepted Answer

Question 22

Two characteristics of quadratic function p are given.

- The axis of symmetry of the graph of p is x=-3.
- Function p has exactly one zero.

Based on this information, which graph could represent p?

Accepted Answer

Question 23

Which graph best represents $$y=-x^2+6x-1$$ ?

Accepted Answer

Question 24

The graph of quadratic function k is shown on the grid. Which statements are best supported by the graph of k?

I. The x-intercept is located at (-3,0)

II. The coordinates of the y-intercept are (0,9)

III. The axis of symmetry is x=-3

Accepted Answer

I, II, and III

Answer

I and II only

Answer

I and III only

Answer

II and III only

Question 25

Which graph best represents a quadratic function that has only one zero?

Accepted Answer

Question 26

A graph of a quadratic function is shown on the grid.

Which coordinates best represent the vertex of the graph?

Accepted Answer

(1,-2)

Answer

(2.4,0)

Answer

(0,-1)

Answer

(-0,4,0)

Question 27

The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?

Accepted Answer

x=2

Answer

y=6

Answer

y=4

Answer

x=0

Question 28

Which statement about the graph of $$y=16\left(0.5\right)^x$$ is NOT true?

Accepted Answer

The x-intercept is (0.5,0).

Answer

The y-intercept is (0,16).

Answer

The graph is decreasing for all values of x.

Answer

The graph has a horizontal asymptote at y=0.

Question 29

The exponential function has these characteristics:

-The y-intercept is 2.

-The function is increasing at a rate of 50%.

Which graph best represent this function?

Accepted Answer

Question 30

A customer purchases an electronic device for $650. Each year the value of the electronic device decreases by 30%.

Which statement is true about the graph that represents the relationship between the value of the device in dollars, y, and the number of years, x, since the device was purchased?

Accepted Answer

The y-intercept of the graph is 650.

Answer

The y-intercept of the graph is 455.

Answer

The graph has a vertical asymptote at x=0

Answer

The graph has a horizontal asymptote at y=30

Question 31

The initial value of a home is $200,000. The value of the home will increase at a rate of 6% each year.

Which graph best models this situation?

Accepted Answer

Question 32

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

Accepted Answer

Question 33

Which graph best represents $$y=10\left(0.85\right)^x$$ ?

Accepted Answer

Question 34

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

Accepted Answer

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

Answer

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

Answer

The equation of the asymptote is x=0

Answer

The graph includes the point (2,1)

Question 35

Which graph best represents $$f\left(x\right)=2\left(5\right)^x$$ ?

Accepted Answer

Question 36

The graph of an exponential function is shown on the grid.

Which dashed line is an asymptote for the graph?

Accepted Answer

Line s

Answer

Line q

Answer

Line r

Answer

Line t

Question 37

Which statement about the graph of $$y=\frac{1}{3}\left(\frac{2}{3}\right)^x$$ is true?

Accepted Answer

The graph decreases from left to right.

Answer

The graph has a vertical asymptote.

Answer

The graph crosses the y-axis at $$\left(0,\frac{2}{9}\right)$$ .

Answer

The graph has an asysmptote at $$y=\frac{1}{3}$$ .

Key Features of Linear, Quadratic, Exponential Functions

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