Exponential Function Growth and Decay Graph

Which function is exponential?

• f(x)

• h(x)

• g(x)

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 35(0.35)^x

• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

What type of function is

y = 2(0.75)^x

EXPLAIN

• Exponential Growth

• Linear

• Exponential Decay

• None of the Above

Tags

CCSS.HSF-IF.C.8B

What is the initial amount, for the function:

f(x) = 300(1.16)^x

• 300

• 1.16

• .16

• 3

• 16%

Tags

CCSS.HSF.LE.B.5

In Jack and the beanstalk, the beanstalk grows very rapidly. It began at a length of 3 ft and grew at a rate of 14% per minute Write the exponential function for this example

• y=6(0.14)^x

• y=3(17)^x

• y=3(1.14)^x

• y=3(0.86)^x

• y=6(1.04)^x

Tags

CCSS.HSF.LE.A.2

Compare the graph of f(x) = 3^x- 4 with the graph of f(x) = 3^x

• Graph shifted 4 units up

• Graph shifted 4 units down

• The graphs are the same

• Exponential Decay

Tags

CCSS.HSF-IF.C.7E

What type of function is y = 7(5/4)^x?

• Exponential GROWTH

• Exponential DECAY

• Linear

• Not a function

Tags

CCSS.HSF-IF.C.8B

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Determine if the graph represents growth or decay. Also determine the y-intercept.

• decay, 5

• decay, 1

• growth, 5

• growth, 1

Tags

CCSS.HSF-IF.C.7E

In an exponential function, what does the a value represent?

• Rate of growth or decay

• Slope

• Initial value

• Exponent

Tags

CCSS.HSF.LE.B.5