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Exercises on Functions

Answer the following questions and if required to do calculations please show your work:

1. What is a function?

2. What is a linear function?

3. What form does a linear function take? (I.e., What is the standard mathematical notation of a linear function?)

4. What is the formula for determining the slope of a line?

5. Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.

a. f(x) = x + 3

b. f(x) = 73 if x>2 otherwise f(x) = -1

c. f(x) = 79if x>0 or f(x) = -9 if xperson's height as a function of the person's age (from age 0 to 100)

b. The probability of getting into a car accident as a function of the speed at which you drive

c. The time it takes you to get to work as a function the speed at which you drive

Assingment Expectations:

Differentiate between a function and a linear function.

Know the mathematical equation of a standard linear function.

Know how to compute the slope of a line.

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