Exponential Function

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

Does the function show growth or decay f(x)=1.9(5/2)^x ?

• growth because base greater than 1

• growth because base less than 1

• decay because base greater than 1

• decay because base less than 1

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

What is the asymptote of the function?

• x = 1

• y = 1

• x = 0

• y = 0

Which graph best represents the function

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

• 
• 

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

The table represents some points on the graph of an exponential function.

Which function represents this relationship?

Which function is best represented by the graph?