Compare Functions [8.AF.15]

Consider the two functions shown here. Which function has the greater rate of change? Explain your answer.

• Function 1, because its rate of change is ½ .

• Function 2, because its rate of change is ½.

• Function 2, because its rate of change is 7.

• Function 1, because its rate of change is 2.

Answer explanation

function 1 use rise over run to find slope

function 2 it already gives you slope which is the the number with x in this case

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Consider the two functions shown here. Which function has the LEAST rate of change? Explain your answer.

• Function 1, because its rate of change is ½ .

• Function 2, because its rate of change is ½.

• Function 2, because its rate of change is 7.

• Function 1, because its rate of change is 2.

Answer explanation

function 1 use rise over run to find slope

function 2 it already gives you slope which is the the number with x in this case

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Consider the two functions shown here. How many times larger is 1's rate of change than 2 rate of change?

• 1/4 times larger

• 3 times larger

• 4 times larger

• 1/2 times larger

Answer explanation

function 1 use rise over run to find slope

function 2 it already gives you slope which is the the number with x in this case

then since it says how many times larger, you divide

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Consider the two functions shown here. Which function has the steeper slope?

• Function 2 because it's slope is smaller

• Function 1 because it's slope is smaller

• Function 1 because it's slope is larger

• Function 2 because it's slope is larger

Answer explanation

function 1 use rise over run to find slope

function 2 it already gives you slope which is the the number with x in this case

then since it says how many times larger, you divide

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Function 2 has points of (2,3) (3,5) (4,7) and (5,9)

Consider the two functions. Which statement is true?

• Function 2 has a greater rate of change by 2

• Function 1 has a greater rate of change by 2

Answer explanation

find slopes of both function 1 is better to go up 2 and over 4

once have slope just subtract bc says comparing it by length

it does not say how many times larger so don't divide

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Jude observes two small plants in a garden. He records the growth of Plant 1 over several days and plots points (0,2.5), (1,4.5) (2,6.5) . He also determines that the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. Which statement correctly compares the growth of the plants?

Responses.

• Plant 2 grows faster than Plant 1.

• Plant 1 grows faster than Plant 2.

• Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.

• The two plants grow at the same rate.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Jude observes two small plants in a garden. He records the growth of Plant 1 over several days and plots points (0,3.5), (1,7) (2,10.5) . He also determines that the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. Which statement correctly compares the growth of the plants?

Responses.

• Plant 2 grows faster than Plant 1.

• Plant 1 grows faster than Plant 2.

• Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.

• The two plants grow at the same rate.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Jude observes two small plants in a garden. He records the growth of Plant 1 over several days and plots points (0,2.5), (1,5) (2,7.5) . He also determines that the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. Which statement correctly compares the growth of the plants?

Responses.

• Plant 2 grows faster than Plant 1.

• Plant 1 grows faster than Plant 2.

• Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.

• The two plants grow at the same rate.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

• Car A and Car B are traveling at the same rate per minute.

Answer explanation

the rate of graph is 2/3 so what is larger? 2/3 or 5/6? can divide if needed to find out which larger

then answer choices say times greater than so that division to find out

have to turn into mixed number and reduce

Tags

CCSS.8.EE.B.5

• Car A and Car B are traveling at the same rate per minute.

Answer explanation

same slopes so same speed per min

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9