Exponential Functions Growth Factor Word Problems

Is this exponential growth or decay?

• Growth

• Decay

Tags

CCSS.HSF-IF.C.7E

Given the original exponential function defined by y=4^x, how would the graph change if the function were: y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

Is the graph linear, exponential, or neither?

• Linear

• Exponential

• Neither

In an exponential function, what does the 'b' represent?

• Slope

• Rate of change

• Y-intercept

• Multiplier

Tags

CCSS.HSF-IF.C.8B

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4 + 5

• x=4

• y=4

• x=5

• y=5

Tags

CCSS.HSF-IF.C.7E

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. (HINT: Write out the equation on a separate piece of paper and hen simplify inside the parenthesis)

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $361,223.09

• $15,000.00

• $31,500.29

• $280,500.86

Tags

CCSS.HSF.BF.A.2

Is this exponential growth or decay?

• Growth, because of 7

• Growth because of 1.2

• Decay, because of 1.2

• Decay because of 7

Tags

CCSS.HSF-IF.C.8B

y = 7(1.2)^x

• Growth, because of 7

• Decay, because of 1.2

• Growth because of 1.2

• Decay because of 7

Tags

CCSS.HSF-IF.C.8B

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• y = 70(2)³⁵

• y = 70(2)⁵

• y = 2(70)⁵

• y = 5(70)²

Tags

CCSS.HSF.BF.A.2