Illustrative Math Algebra

The vertical intercept shows.....

• the maximum height that the graph reaches.

• the time that the graph reaches ground level.

• the height that the object started at.

• the minimum height that the graph reaches.

Which of the following statements is true about the graph shown?

• f(20) = 3

• f(20) > f(7)

• There is no vertical intercept.

• There is no horizontal intercept.

Select all the options that are true.

• f(7) = f(20)

• The vertical intercept represents the height at which the object started.

• There are multiple relative maximums.

• The minimum of the graph is 10 meters

• f(9) < f(1)

A FedEx store buys 250 cases of paper and uses 3 cases per day. Write a function to show how many cases of paper FedEx has at the end of each day.

• p(d) = 250 + 3d

• p(d) = 250 - 3d

• p(d) = 3d

Tyler is filling a bathtub with water. Function B gives the depth of the water, in inches, t minutes after he begins filling the tub. Explain the meaning of B(9) = 11.

• The temperature of the water is 11 after 9 minutes.

• The tub has 9 inches of water after 11 minutes.

• The tub has 11 inches of water after 9 minutes.

Determine the average rate of change between the points (4, 9) and (7, 5).

• 1.3

• -1.3

• 0.75

• -0.75

Determine the rate of change and interpret what the rate of change means in context of the table.

• 2

• 0.5

• Balloons cost $2 each

• 2 balloons cost $1

• Balloons are $0.50 each

Function M shows Mary's age, function J shows John's age. Select the option that is NOT true.

• m(2) < j(2)

• m(5) = j(5)

• j(1) < j(6)

• m(9) > m(7)

The graph shows the height of a rocket and of a drone as a function of time. Select all true statements.

• The drone is decreasing in height over the interval of 5 seconds to 7 seconds.

• The rocket reaches a max height of 45 feet at 2 seconds.

• r(3) < d(3)

• d(2) > d(6)

• The rocket and drone are at the same height at approximately 4.5 seconds.

Given the graph, select all the true statements.

• The temperature rises more quickly from noon to 3pm than it did before noon.

• The temperature decreased more rapidly between 7pm and 9pm than it did from 3pm and 7pm.

• t(12) < t(3)

• The maximum temperature happened at 3pm.