Relations & Functions

Front

What is a function?

Back

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

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

How can you determine if a table represents a function?

Back

A table represents a function if no x-value is repeated with a different y-value.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

Evaluate f(5) if f(x) = -x + 4.

Back

f(5) = -5 + 4 = -1.

Front

What does it mean if a graph is a linear function?

Back

A linear function is represented by a straight line on a graph, indicating a constant rate of change.

Front

What is a non-linear function?

Back

A non-linear function is represented by a curve on a graph, indicating a variable rate of change.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

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

Back

f(-2) = (-2)^2 + 3 = 4 + 3 = 7.