3.3 Functions and Function Notation

Solve.

Find the domain and range of the following diagram:

Solve.

Find the domain and range of the following relation: {(-3,4) (5,10) (9,2) (7,-6)}

Solve.

For the following situation, find the dependent variable, independent variable, and write an equation in function notation. Solve. Almira earns $50 an hour. How much does she earn in 6 hours?

Solve.

For the following situation, find the dependent variable, independent variable, and write an equation in function notation. Solve. Anne buys used cars at auction for $2000 per car. There is a $150 fee to take part in the auction. If Anne buys 13 used cars, how much does she pay in total?

Solve.

For the following situation, find the dependent variable, independent variable, and write an equation in function notation. Solve. Harold, a real estate developer, sells houses at $250,000 per house. If he sells 9 houses, how much does he earn?

Solve.

Rewrite y = 2(x-19) in function notation. Simplify.

Solve.

Rewrite y = 3x - 9 in function notation. Find f(x) when f(3).

Function Rule

the algebraic expression that defines a function

Function Notation

y = f(x) read as "y equals f of x" where f names the function Another way of stating is "the dependent variable (y) is a function of the independent variable (x)"