Characteristics and Transformations of Exponential and Logarithmic Functions

Which graph represents the function shown?

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Which exponential equation represents the graph shown?

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Which exponential equation represents the graph shown?

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Kennesaw Mountain is eroding and losing elevation at a rate of 3% every year. If the current elevation is 1,120 meters, how tall will the mountain be in 6 years? If necessary, round your answer to the nearest whole number.

• 8,164 meters.

• 1,377 meters.

• 905 meters.

• 933 meters.

Emily is culturing bacteria that have a growth rate of 5% per hour. If the current population is 36,000 bacteria, how many bacteria will there be in 12 hours? If necessary, round your answer to the nearest whole number.

• 8,789,062 bacteria.

• 19,452 bacteria.

• 61,572 bacteria.

• 64,651 bacteria.

What is the asymptote of the exponential function shown?

• y = -5

• y = -3

• y = -6

• y = 2.5

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

log₅25 = ?

• 2

• 5

• 125

• 10

Is this exponential growth or decay?

• Growth

• Decay

What is the equation that represents the exponential function in the image below?

• y=3(½)^x

• y=3(2)^x

• y=(2)^x

• y=2(3)^x