4.9 Unit 4 Test Review (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 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

How do you find the value of x when f(x) = k?

Back

To find x when f(x) = k, set the function equal to k and solve for x.

Front

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

Back

A graph represents a function if every vertical line intersects the graph at most once (Vertical Line Test).

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is given by the equation f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a relation is a function from a set of ordered pairs?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis (where x = 0).

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the graph of the function crosses the x-axis (where f(x) = 0).

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set f(x) = 0 and solve for x.