The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5.
Is the relation a function? Explain.
No, because for each input there is not exactly one output
No, because for each output there is not exactly one input
Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
Question 2(Multiple Choice Worth 2 points)
(Identifying Functions MC)
A track runner ran for 15 minutes, stretched in place for 15 minutes, ran for another 20 minutes, and then rested in place for 10 minutes.
Which graph describes the relationship between runner's total distance and time?
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 2.4, and a horizontal line segment from 0.8 comma 2.4 to 1 comma 2.4
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a horizontal line segment from 0.8 comma 2.95 to 1 comma 2.95
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 0.1, and a horizontal line segment from 0.8 comma 0.1 to 1 comma 0.1
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a line segment from 0.8 comma 2.95 to 1 comma 3.15
Question 3(Multiple Choice Worth 2 points)
(Identifying Functions LC)
Which of the following tables represents a relation that is a function?
x y
2 −5
2 −3
2 0
2 3
2 5
x y
−3 0
−1 3
0 4
3 0
4 3
x y
−4 2
−3 2
0 −2
0 2
4 2
x y
−4 −2
−3 4
−1 −1
−1 2
3 −3
Question 4(Multiple Choice Worth 2 points)
(Identifying Functions MC)
Which of the following gives the correct range for the graph?
A coordinate plane with a segment going from the point negative 4 comma negative 2 to 0 comma negative 1 and another segment going from the point 0 comma negative 1 to 3 comma 5.
−2 ≤ x ≤ 5
−2 ≤ y ≤ 5
−4 ≤ x ≤ 3
−4 ≤ y ≤ 3
Question 5(Multiple Choice Worth 2 points)
(Identifying Functions MC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
A coordinate plane with points at negative 5 comma negative 4, negative 2 comma 0, 0 comma negative 1, 1 comma 3, and 4 comma 1.
What is the domain of the relation?
{−5, 0, 3, 4}
{−4, −1, 0, 1, 3}
{−5, −2, 0, 1, 4}
{−5, −4, −2, −1, 0, 1, 3, 4}
Question 6 (Essay Worth 4 points)
(Identifying Functions HC)
The graph shows the total distance, in miles, Keandra traveled from her home over a certain amount of time, in minutes.
graph with the x axis labeled time in minutes and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 60 comma 75, a horizontal line segment from 60 comma 75 to 80 comma 75, a line segment from 80 comma 75 to 100 comma 100 and a line segment from 100 comma 100 to 120 comma 75
Part A: Identify the interval(s) where the graph is increasing, decreasing, and constant. (2 points)
Part B: Write a detailed description for the graph using information from Part A. (2 points)
