Determining Key Features of an Exponential Function

Chester was running an experiment on a sample of 400 grams of a radioactive isotope with a half-life of 1 hour. He was determining the amount of isotope remaining after various elapsed time intervals. Using his collected data, Chester formulated the graph below to model the amount of radioactive isotope remaining after an elapsed time in hours. What is the y-intercept and asymptote?

• y-intercept: (0,400); asymptote: y=0

• y-intercept: (0,0); asymptote: y=4

• y-intercept: (0,7); asymptote: x=0

• y-intercept: (0,10); asymptote: y=4

Tags

CCSS.HSF-IF.C.7E

What is the asymptote of the function?

• x = 1

• y = 1

• x = 0

• y = 0

Tags

CCSS.HSF-IF.C.7D

Based on the graph, which statement does not appear to be true?

• The graph has a horizontal asymptote at y=0

• The y-intercept is at the point (0, 3)

• The graph represents exponential growth.

• The graph of the function shows a decrease over time.

Tags

CCSS.HSF-IF.C.7E

Does the graph show an example of exponential growth or decay?

• Growth

• Decay

• The first part of the graph is growth and the second part is decay

• The graph shows neither growth, nor decay.

Tags

CCSS.HSF-IF.C.7E

Label the key features of the exponential function.

a

c

x-intercept

axis of symmetry

y-intercept

horizontal asymptote

Tags

CCSS.HSF-IF.C.7E

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Tags

CCSS.HSF.LE.A.2

An exponential function is graphed. Click on the y-intercept.

Tags

CCSS.HSF-IF.C.7E

This graph models ​ (a)   .

For this function, b is ​ (b)  

• exponential growth

• exponential decay

• a rational function

• greater than 1

• less than 1

• equal to 1

Tags

CCSS.HSF-IF.C.7E

This graph models ​ (a)   . For this function, b is ​ (b)  

• exponential growth

• exponential decay

• a rational function

• greater than 1

• less than 1

• equal to 1

Tags

CCSS.HSF-LE.A.1A

This graph models ​ (a)   . For this function, b is ​ (b)  

• exponential growth

• exponential decay

• a rational function

• greater than 1

• less than 1

• equal to 1

Tags

CCSS.HSF-IF.C.7E