Exponential Growth and Decay

Find the range of the exponential graph.

• All real numbers less than 0

• All real numbers greater than 0

• All real numbers less than or equal to 0

• All real numbers greater than or equal to 0

What is b, the common ratio, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5

• -.05

• .95

• .05

What is the decay rate in the following model?
A=1200(.85)⁶

• -1200

• -.15

• 6

• -6

Is this exponential growth or decay?

• Growth

• Decay

What is the horizontal asymptote of the exponential function?

• y=-3

• x=-3

• y=1

• x=1

Identify the domain of this exponential function?

• All real numbers

• All real number greater than or equal to 0

• All real numbers greater than 0

• All real numbers less than or equal to 1

Which of the following is a true statement about the two exponential graphs shown?

• The domain of f(x) is different from the domain of g(x)

• g(x) has a horizontal asymptote that is lower than the asymptote of f(x)

• The graphs have the same initial value

• The graphs have a different x-intercept

Determine if the graph represents growth or decay. Also determine the y-intercept.

• decay, 5

• decay, 1

• growth, 5

• growth, 1

Which of the graphs below represents y = 6(2)^x?

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