Exponential and Logarithmic Transformations and Characteristics

Which graph represents the function shown?

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Tags

CCSS.HSF-IF.C.7E

Which exponential equation represents the graph shown?

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Tags

CCSS.HSF.LE.A.2

Which exponential equation represents the graph shown?

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Tags

CCSS.HSF.LE.A.2

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.

Review: Which explicit equation describes the sequence below.

40, 80, 160 ...

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Tags

CCSS.HSF.LE.A.2

Condense

• A

• B

• C

• D

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Tags

CCSS.HSF.BF.B.5