Define, Evaluate, and Compare Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a given input value.

Front

Evaluate f(x) = x² for f(-8)

Back

64

Front

What is f(2) if f(x) = 4x?

Back

8

Front

Evaluate f(x) = -2t² + 1 for f(2)

Back

-7

Front

Evaluate f(x) = x + 3 for f(-5)

Back

-2

Front

Evaluate f(x) = 2x + 6 for f(5)

Back

16

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.