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

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

Back

f(-8) = 64.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value for a given input by substituting the input into the function's formula.

Front

If g(x) = 2x - 6, what is g(5)?

Back

g(5) = 4.

Front

What is the value of f(10) if f(x) = 1.5x - 5?

Back

f(10) = 10.

Front

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

Back

f(-4) = -3.

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

Evaluate r(-2) if r(x) = 2x + 4.

Back

r(-2) = 0.

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.