Exponential Function Growth and Decay Graph

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

Is this exponential growth or decay?

• Growth

• Decay

• The graph shows decay, then growth

• Neither

What is the asymptote of the function?

• x = 1

• y = 1

• x = 0

• y = 0

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

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

• Exponential Growth

• Exponential Decay

• Linear

• None

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Which equation best matches the graph?

• y=2(2)^x

• y=(1/2)^x

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

• Exponential Growth

• Exponential Decay

• Linear

• None

This is an example of....

• an exponential growth

• an exponential decay

• an increasing linear function

• none of the above

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.