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 vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of 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 of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

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 (usually y) that result from using the function.

Front

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

Back

A graph is a function if every x-value has exactly one corresponding y-value.

Front

How do you find the value of x for a given f(x)?

Back

To find the value of x for a given f(x), set the function equal to the desired output and solve for x.

Tags

CCSS.HSF.IF.A.2

Front

What is an example of a function?

Back

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

Tags

CCSS.8.F.A.1

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 significance of the y-axis in a function's graph?

Back

The y-axis represents the output values (y) of the function for corresponding input values (x) on the x-axis.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does it mean if a graph has a restricted domain?

Back

A restricted domain means that the function is only defined for certain values of x, limiting the inputs.

Tags

CCSS.HSF-BF.B.4D