Evaluating Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Evaluate f(2) if f(x) = 5x - 2.

Back

f(2) = 10.

Front

What does it mean to evaluate a function?

Back

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

Front

If f(x) = 3x + 1, what is f(-1)?

Back

f(-1) = -2.

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

For what value of x does f(x) = 0 if f(x) = x^2 - 4?

Back

x = 2 or x = -2.

Front

Evaluate f(3) if f(x) = x^2 + 2x - 1.

Back

f(3) = 14.

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.

Front

If f(x) = 2x + 3, what is f(0)?

Back

f(0) = 3.