Key Features and Transforming Exponential Functions

The image shows how the value of a specific car decreases over time. What was the initial value of the car?

• $12,000

• $3,000

• $75,000

• $6,000

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.

The graph shows the height of each Pillar Jasmine is painting in her mural.

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?

• 
• 

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

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Is this exponential growth or decay?

• Growth

• Decay

• The graph shows decay, then growth

• Neither

Look at the graph and answer each question.

Does the graph show 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: (0, 5)

  asymptote: x = 0