Evaluating Functions

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean if an x-value repeats in a relation?

Back

If an x-value repeats, the relation is not a function because it would have multiple y-values for that x-value.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

Evaluate f(x) = x^2 for f(5).

Back

25

Front

Evaluate f(x) = 2x + 3 for f(0).

Back

3

Front

What is the output of f(x) = 3x - 4 when x = 2?

Back

2

Front

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

Back

9

Front

If f(x) = 4x + 1, find f(-1).

Back

-3

Front

What is the definition of a mapping in relation to functions?

Back

A mapping shows how each input is paired with an output, indicating whether it is a function or not.