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 of the function for a given input value.

Front

If f(x) = 4x + 5, what is f(4)?

Back

21

Front

What is the vertical line test?

Back

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

Front

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

Back

7

Front

What is the value of f(-3) if f(x) = 2x?

Back

-6

Front

If f(x) = x/2, what is f(8)?

Back

4

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 does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line.