Exponential Graphs and Key Features

Is this exponential function increasing or decreasing?

• increasing

• decreasing

Which of the following statements about the graph above is true?

• The range is (-∞, 0).

• The domain is (-∞, 0).

• The domain is (0,∞)

• The range is (0,∞)

What is the range of the function?

• (3,∞)

• (-6,∞)

• (0,∞)

• (-∞,∞)

What is the x-intercept of the exponential function?

• (0,1)

• (0,0)

• There is no x-intercept

We have the equation here, and they want to know which key feature is true? What can we do with the equation?

(a)  

• G

• F

• H

• J

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 y-intercept for this scenario?

• (0,1) which means that the population after 1 decade was 0 people

• (-6,0) which means that the population starts with -6 million people

• ( 1,0) which means that the population ends with 1 million people

• (0,1) which means the population starts at 1 million people

Use the graph to identify the correct features. Select all that apply.

Use the graph to find the y-intercept of this exponential equation:

• 0

• 3

• 6

• 9

Look at the graph and answer each question.

Is it a growth or decay?

What is the y-intercept?

What is the asymptote?

• Growth

  y-intercept: (0, 5)

  asymptote: y = 0

• Decay

  y-intercept: (0, 5)

  asymptote: y = 0

• Growth

  y-intercept: (0, 5)

  asymptote: y = 5

• Decay

  y-intercept: (5, 0)

  asymptote: x = 0