Key Features of Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Tags

CCSS.8.F.A.1

Front

What are the x-intercepts of a function?

Back

The x-intercepts are the points where the graph of the function crosses the x-axis, meaning the output (y) is zero.

Front

What are the y-intercepts of a function?

Back

The y-intercepts are the points where the graph of the function crosses the y-axis, meaning the input (x) is zero.

Front

Define relative maximum.

Back

A relative maximum is a point on the graph of a function where the function value is higher than the values of the function at nearby points.

Front

Define relative minimum.

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x) 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) that the function can produce.

Front

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

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7D

Front

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

Back

To find the y-intercept, evaluate the function at x = 0.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of the function (y) also increases.