Practice - Algebra 1

4.10.6 Practice

4.10.6 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

Use the following scenario and graph to answer question 1.

Functions $R$ and $D$ give the height, in feet, of a toy rocket and a drone, $t$ seconds after they are released.

Here are the graphs of $R$ (for the rocket) and $D$ (for the drone).

Two functions graphed on a cooridnate plane.

Decide whether the following statements are true or false.

$R(3)>D(3)$

true
false

$R(0)=D(0)$

true
false

$R(4.5)=D(4.5)$

true
false

$R(0)=D(0)+25$

true
false

$D(7)>R(5)$

true
false

$A(t)$ is the average high temperature in Aspen, Colorado, $t$ months after the start of the year. $M(t)$ is the average high temperature in Minneapolis, Minnesota, $t$ months after the start of the year. Temperature is measured in degrees Fahrenheit.

Which function had the higher average rate of change between the beginning of January and middle of March?

Aspen
Minneapolis

Here are two graphs representing functions $f$ and $g$ .

Select the three statements that are true about functions $f$ and $g$ .

$f(0)$ > $g(0)$
There are values of $x$ where $f(x)=g(x)$
$f(-1)$ < $g(-1)$
$f(-3)$ > $g(4)$

For questions 4 – 6, use the three graphs below:

The three graphs represent the progress of three runners in a 400-meter race.
The solid line represents Runner A. The dotted line represents Runner B. The dashed line represents Runner C.

Which runner ran at a constant rate throughout the race?

Runner A
Runner B
Runner C

Which runner stopped running for a while?

Runner A
Runner B
Runner C

Which runner won the race?

Runner A
Runner B
Runner C

Use the graphs below for questions 7 – 8.

Which show had the largest audience for episode 4?

Show A
Show B
Show C

Which show had the largest audience for their first episode?

Show A
Show B
Show C