Domain and Range and Functions

Front

What is the definition of a function?

Back

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

Tags

CCSS.8.F.A.1

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

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

Back

The x-intercept is found by setting the output (y) to zero and solving for x.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero, always resulting in a non-negative value.

Tags

CCSS.HSF-IF.C.7D

Front

What is the range of the absolute value function?

Back

The range of the absolute value function is [0, infinity).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y over the change in x (rise/run).

Tags

CCSS.8.EE.B.5