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

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

Evaluate f(x) = 3x + 2 when x = 4.

Back

f(4) = 3(4) + 2 = 14.

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

If f(x) = x^2, what is f(-3)?

Back

f(-3) = (-3)^2 = 9.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

Evaluate f(x) = 2x^2 + 3x - 5 for x = 1.

Back

f(1) = 2(1)^2 + 3(1) - 5 = 0.

Front

What is an example of a non-function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Front

If f(x) = 5x - 7, what is f(0)?

Back

f(0) = 5(0) - 7 = -7.