Functions, Functions, 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.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input).

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output).

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two different ordered pairs have the same first element (input).

Tags

CCSS.8.F.A.1

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the vertical line test?

Back

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

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for each value of x, there is a unique value of f(x).

Tags

CCSS.8.F.A.1

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 f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Tags

CCSS.8.F.A.1

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 divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5