Warm Up
Here is a graph that represents function , which gives the height of a drone, in meters, seconds after it leaves the ground.
Decide which function value is greater.
Explain your thinking:
Compare your answer: Your answer may vary, but here is a sample. The output value at f(4) is greater than the output value at f(0) because at 4 seconds the drone is 4 meters off the ground while at 0 seconds, the drone is on the ground (0 meters).
Decide which function value is greater.
They are equal.
Explain your thinking:
Compare your answer: Your answer may vary, but here is a sample. The output value at f(2) is equal to the output value at f(5) because at both 2 seconds and 5 seconds, the drone is 4 meters off the ground.
Decide which function value is greater.
Explain your thinking:
Compare your answer: Your answer may vary, but here is a sample. The output value at f(3) is greater than the output value at f(7) because at 3 seconds the drone is 4 meters off the ground while at 7 seconds, the drone is on the ground (0 meters).
Decide which function value is greater.
It depends on the value of .
Explain your thinking:
Compare your answer: Your answer may vary, but here are some samples.
- It depends on the value of t because during some time periods the values of the function are equal.
- It depends on the value of t because between 0-2 seconds, f(t+1) is greater than f(t) but it is exactly the opposite between 5-7 seconds where f(t) is greater.
- It depends on the value of t because between 0-2 seconds, f(t+1) is greater, between 2-5 seconds the values are equal, and after 5 seconds, f(t) is greater.