Growth and Decay Exponential Functions Graph

What type of function is
y = 2(0.75)^x
EXPLAIN

• Exponential Growth

• Linear

• Exponential Decay

• None of the Above

What is the initial amount, for the function: f(x) = 300(1.16)^x

• 300

• 1.16

• .16

• 3

• 16%

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

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

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

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

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.

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.

Which graph best represents the function

f(x) = 5(2)^x?

• 
•