Domain/Range
Functions
Intercepts
Equations
Slope
100
What is the domain of the graph?
A) −9 < x ≤ 2 B) −9 ≤ x < 2
C) −6 < g(x) ≤ 3 D) −6 ≤ g(x) < 3
A) −9 < x ≤ 2
100
Does the following table represent y as a function of x?
Yes
100
The graph of linear function g passes through the points (-7, -4) and (7, 6).
What is the y-intercept of the graph?
b = 1
100
The value of y is directly proportional to the value of x. If x = 140 when y = 35, what is the value of y when x = 70?
17.5
100
What is the rate of change for the equation y = 12x + 7?
12
(not 12x)
200
What is the domain of the table?
{-3, 0, 3, 6}
200
The table shown below represents a function. Select all ordered pairs that could also define the function.
A. (3, 2) B. (1, 2) C. (6, 2)
D. (4, 6) E. (-3, 5) F. (-2, -3)
B. (1, 2)
D. (4, 6)
F. (-2, -3)
200
What is the zero of the graph?
60
200
A line drawn on the coordinate plane passes through the points (5, 3) and (9, -13). What is the equation of the line in slope-intercept form?
y = -4x + 23
200
he table shows a linear relationship between x and y.
What is the rate of change of y with respect to x?
-9/2
300
What is the range of the graph?
A) −9 < x ≤ 2 B) −9 ≤ x < 2
C) −6 < g(x) ≤ 3 D) −6 ≤ g(x) < 3
D) −6 ≤ g(x) < 3
300
Is the following graph a function?
No
300
What are the x and y-intercepts of the line?
x-intercept: (-2,0) or -2
y-intercept: (0,8) or 8
300
What value of x makes the equation 1.25(4x - 10) = 7.5 true?
4
300
The graph of linear function g passes through the points (-7, -4) and (7, 6).
What is the slope of the graph?
m = 5/7
400
What is the domain of the graph?
What is the range of the graph?
Domain: 0 ≤ x ≤ 50 (all real numbers greater than or equal to 0 and less than or equal to 50)
Range: 0 ≤ y ≤ 100 (all real numbers greater than or equal to 0 and less than or equal to 100)
400
The following table represents a function. List 3 new ordered pairs that could also define the function.
Answers will vary. x-values should not include -20, -12, -6, and -2
400
The graph of linear function k passes through the points (-7, 0) and (1, 8).
Which statement must be true?
A. The slope of the graph of k is -4/3
B. The graph of k passes through the point (-1, -8)
C. The zero of k is -7
D. The x-intercept of the graph of k is 7.
C. The zero of k is -7
400
The table represents some points on the graph of a linear function.
Which function represents the same relationship?
A. h(x) = −3x − 10.5
B. h(x) = −x − 3.5
C. h(x) = 3x − 10.5
D. h(x) = x − 3.5
A. h(x) = −3x − 10.5
400
What is the slope of a horizontal line?
What is the slope of a vertical line?
Horizontal: m = 0
Vertical: m = undefined
500
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x+ 4.
What is the range of the function for this situation?
A. { 0, 1, 2, 3, 4, 5, 6 }
B. { 4, 24, 44, 64, 84, 104, 124 }
C. { 0, 2, 4, 6 }
D. { 4, 44, 84, 124 }
B. { 4, 24, 44, 64, 84, 104, 124 }
500
Given f(x) = 6(1- x), what is the value of f(-8)?
54
500
A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found using the function y = -1.5x + 45, where x is the time in seconds the airplane has been in the air.
How many seconds did it take the paper airplane to reach the ground?
30 seconds
500
Which of the following is equivalent to 3x - 4y = 6?
A. y = -6/7x
B. y = -3/4x
C. y = 4/3x + 2
D. y = 3/4x - 3/2
D. y = 3/4x - 3/2
500
The function y = 3.75 + 4.25(x - 1) can be used to determine the cost in dollars for a taxi ride of x miles.
What is the rate of change of the cost in dollars with respect to the number of miles?
$4.25 per mile