Unit 5 Functions Test Review

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 different y-values.

Front

What does it mean if a relation is not a function?

Back

It means that at least one x-value is paired with more than one y-value.

Front

What is the vertical line test?

Back

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

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

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 y = mx + b.

Front

What is a rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often represented as the slope in a linear function.

Front

How do you find the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).