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Classify the following functions as one of the types of functions that we have discussed

Find an equation of the quadratic below:

Find a formula for a cubic function if (−2) = (1) = (3) = 0 and (2) = 8

Section 1.1: A Review of Functions

What is a function?

A function is a rule that assigns to each value in the domain, D, exactly one value in the

range, R.

Ex 1) Let f(x) = 2x – 3. Find

a) f(–5)

b) f(2)

Ex 2) Use the vertical line test to identify graphs in which y is a function of x.

a) b) c) d)

Ex 3) Determine whether the relations are functions:

b) c) ) 2 + 2 = 16 = 2 + 1 =

Once we know we have a rule that is a function, we want to know what the domain and range are for the


Ex 4) Let and ( ) = +1
−2 ( ) = + 2

Find the domain of each function.

Ex 5) Let f(x) = 2x – 3. State the domain of the function, and find:

a) f(–5)

b) f(2)

c) f(a +1)

d) f(x + h)

Ex 6) Simplify the difference quotient for
+ℎ( )− ( )

ℎ ( ) = 3 − 2

Piecewise Functions:

Ex 7) Graph the piecewise function ( ){ 2 − 2 + 1 < 2 − 1| | ≥2

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