Evaluating 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 value of the function for a given input.

Front

Evaluate f(x) = x^2 for f(-8).

Back

64

Front

Evaluate f(x) = 4x + 5 for f(4).

Back

21

Front

What is the value of g(5) if g(x) = 4?

Back

4

Front

Given f(x) = 3x + 9, find f(-4).

Back

-3

Front

What is the value of f(10) if f(x) = 1.5x - 0.5?

Back

15

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.