Review! (Functions)

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

Evaluate f(5) if f(x) = 3x + 1.

Back

f(5) = 3(5) + 1 = 16.

Front

What is the cost function for the Roaming Cell Phone Company?

Back

C(x) = 2x + 15, where x is the number of minutes used.

Front

Solve C(x) = 23 for the cost function C(x) = 2x + 15.

Back

C(4) = 2(4) + 15 = 23, so x = 4 minutes.

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one; if any horizontal line intersects the graph more than once, it is not a one-to-one function.

Front

What is the vertical line test?

Back

The vertical line test checks if a relation is a function; if any vertical line intersects the graph more than once, it is not a function.

Front

Can a function have the same output for different inputs?

Back

No, a function must have exactly one output for each input.

Front

What is an example of a non-function?

Back

A relation where a single input corresponds to multiple outputs, such as a circle.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.