←
Analyzing Functions Using Real-World Context

4.10.5 Analyzing Functions Using Real-World Context

4.10.5 • Analyzing Functions Using Real-World Context

Cool Down

Functions RR and DD give the height, in feet, of a toy rocket and a drone, tt seconds after they are released. Here are the graphs of RR (for the rocket) and DD (for the drone).

A graph shows height in feet vs. time in seconds. Two curves, D (a flat-topped shape) and R (a parabola), both rise, but R peaks near 2 seconds and descends, while D stays flat from 2 to 5 seconds, then drops.
1.

Which of the inequalities is true: R(2)>D(2)R(2)>D(2) or D(2)>R(2)D(2)>R(2)?

Compare your answer:

R(2)>D(2)R(2)>D(2)

2.

What was the height of the drone when the toy rocket hit the ground?

Compare your answer:

20 feet

3.

For what value of tt is R(t)=D(t)R(t)=D(t) true?

Compare your answer:

About t=4.5t=4.5.

4.

What does this tell you about the drone and the toy rocket?

Compare your answer:

After 4.5 seconds, the toy rocket and the drone are at the same height.