Identify and Evaluate Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What part of a relationship cannot repeat for it to be considered a function?

Back

X-Values.

Front

How can you determine if a relation is a function?

Back

A relation is a function if every x-value has only one corresponding y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Evaluate p(x) = 5(x + 1) + 16 for p(11).

Back

76.

Front

What does it mean if a function is not defined for a certain x-value?

Back

It means there is no corresponding y-value for that x-value in the function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Evaluate f(t) = -2t² + 1 for f(2).

Back

-7.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.