Rate of Change and Change in Tandem

What does a graph help us coordinate and track?

• The values of a single quantity

• How two quantities change together

• The maximum value of a function

• The average of multiple quantities

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What concept is used to calculate how two quantities change together?

• Graph symmetry

• Rate of change

• Function continuity

• Interval estimation

Tags

CCSS.HSF-LE.A.1B

What does the concavity of a graph help visualize?

• The maximum value of a function

• The average rate of change

• The slope of a tangent line

• How two quantities change together

What is the average rate of change defined as?

• The maximum value of a function

• The change in one quantity divided by the change in another over an interval

• The slope of a tangent line

• The area under a curve

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

How can the average rate of change be used?

• To solve applied problems

• To find the maximum value of a function

• To determine graph symmetry

• To calculate the area under a curve

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What can improve the estimate of a function's rate of change?

• Using a smaller interval

• Calculating the area under the curve

• Using a larger interval

• Finding the maximum value of the function

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What does the interval over which the average rate of change is computed affect?

• The accuracy of the rate of change estimate

• The maximum value of the function

• The concavity of the graph

• The symmetry of the graph

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the primary focus of investigating two quantities changing together?

• To determine graph symmetry

• To find the maximum value of a function

• To compute the area under the curve

• To calculate the rate of change

Tags

CCSS.HSF-LE.A.1B

What does the learning target emphasize about the rate of change?

• It is always constant

• It is irrelevant to applied problems

• It can be visualized through graph concavity

• It is the same as the maximum value of a function

What is the purpose of exploring the average rate of change?

• To calculate the area under the curve

• To determine graph symmetry

• To improve estimates of a function's rate of change

• To find the maximum value of a function

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6