FREE NJGPA Interpreting Functions and Key Features from Graphs and Tables (Algebra I) Questions and Answers

Question 1

A function is represented by a continuous graph that starts at the point (-4, 2) and ends at the point (5, -1). What is the domain of the function?

Accepted Answer

[-4, 5]

Answer

[-1, 2]

Answer

All real numbers

Answer

{-4, 5}

Question 2

Consider the function f(x) represented by the table of values below. What is the y-intercept of the function?  Table: x: -2, -1, 0, 1, 2; f(x): 9, 6, 3, 0, -3

Accepted Answer

(0, 3)

Answer

(1, 0)

Answer

(0, 1)

Answer

(3, 0)

Question 3

The graph of a parabola opens downwards and has its vertex at the point (2, 8). On which interval is the function increasing?

Accepted Answer

(-∞, 2)

Answer

(2, ∞)

Answer

(-∞, 8)

Answer

(8, ∞)

Question 4

The graph shows the height of a ball thrown into the air over time. The highest point on the graph is (3, 25). What is the maximum height the ball reaches?

Accepted Answer

25

Answer

3

Answer

28

Answer

It cannot be determined from the graph.

Question 5

A function is defined by the following table of values. What is the average rate of change over the interval from x = 1 to x = 4? Table: x: 0, 1, 2, 3, 4; f(x): 2, 5, 10, 17, 26

Accepted Answer

7

Answer

3

Answer

21

Answer

5

Question 6

The graph of a function d(t) shows the distance (in miles) a car has traveled from its starting point after t hours. What does the point (3, 150) on the graph represent?

Accepted Answer

After 3 hours, the car has traveled 150 miles.

Answer

The car traveled 3 miles in 150 hours.

Answer

The car's average speed is 150 miles per hour.

Answer

The car will travel a total of 150 miles on its trip.

Question 7

Function A is represented by the equation y = 4x + 5. Function B is represented by a graph that is a straight line passing through the points (0, 3) and (2, 7). Which statement is true?

Accepted Answer

The y-intercept of Function A is greater than the y-intercept of Function B.

Answer

The y-intercept of Function A is less than the y-intercept of Function B.

Answer

The y-intercepts of both functions are equal.

Answer

The rate of change of Function B is greater than the rate of change of Function A.