Evaluating Functions



Evaluating Functions 3 Name:

1) Given [pic] graphed below, evaluate the following:

a) [pic]

b) [pic]

c) [pic]

d) Why is [pic] a function?

e) Write the domain and range of [pic].

f) Challenge: Write the equation of [pic].

2) Given [pic] graphed below, evaluate the following:

a) [pic]

b) [pic]

c) Approximate[pic]

d) Why is [pic] a function?

e) Write the domain and range of [pic].

3) If [pic] and [pic], evaluate the following:

a) [pic] b) [pic]

c) [pic] d) [pic]

4) Let J(x) be Laura’s distance above the ground as she skydives and falls to the ground, where x is time in seconds and J(x) is distance in feet. Interpret (i.e. use words to describe) the following:

J(0) = 13,500

J(10) = 10,570

Extra: Sketch a possible graph of J(x).

5) Let g(x) be the number of gallons of gas used by a car during a drive, where x is the number of miles. Interpret the following:

g(20) = 0.8

g(130) = 5.6

Extra: Sketch a possible graph of g(x).

Extra: What is this car’s approximate miles per gallon rate?

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