Compare Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Tags

CCSS.8.F.A.1

Front

What does the rate of change represent in a function?

Back

The rate of change indicates how much the output value (y) changes for a given change in the input value (x).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If a function has a rate of change of 4, what does this mean?

Back

For every 1 unit increase in x, the output (y) increases by 4 units.

Tags

CCSS.HSF-LE.A.1B

Front

What is the initial value in a function?

Back

The initial value is the output of the function when the input (x) is zero.

Tags

CCSS.HSF-BF.A.1A

Front

How do you compare the initial values of two functions?

Back

You look at the output values when both functions have the same input, typically when x=0.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

Back

It represents a function starting with an initial value of 5 and gaining 2 for every increase of 1 in x.

Tags

CCSS.HSF.LE.B.5

Front

What is a linear function?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the slope of a function?

Back

The slope is the rate of change of the function, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How can you determine if two functions have the same rate of change?

Back

If the slopes of both functions are equal, they have the same rate of change.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What does it mean if two functions have different initial values?

Back

It means that when both functions are evaluated at x=0, they yield different output values.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9