Exponential Functions Growth and Decay Graph

Is this exponential growth or decay? EXPLAIN

• Exponential Growth

• Exponential Decay

• Neither

The table represents ...

• Linear function, Dividing by 2

• Exponential function, Growth, Adding by 50

• Exponential function, Decay, Dividing by 2

• Exponential function, Decay, Adding 50

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

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

Evaluate the exponential function when x = 0

Hint: PEMDAS

• 3.7

• 1

• 0

• 2.14

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.

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