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1 of 8 0-day streak

Construct exponential and logarithmic inverse pairs

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
rule for an increasing exponential rule with 0 translationsrule for a decreasing exponential rule with 0 translationsrule for an increasing logarithmic rule with 0 translationsrule for a decreasing logarithmic rule with 0 translationsfeatures for an increasing exponential rule with 0 translationsfeatures for a decreasing exponential rule with 0 translationsfeatures for an increasing logarithmic rule with 0 translationsfeatures for a decreasing logarithmic rule with 0 translationsNOWMix of allRecommended
Question 1 of 8

No calculator

The function f is defined by

\[y=\frac{3}{4}^{x}\]

The domain of f is all real numbers, its range is \(y>0\), and its horizontal asymptote is \(y=0\)

The point P=(\(-3\), \(\frac{64}{27}\)) lies on the graph of f

(a)1 mark

Choose the exact rule for the inverse function

(b)2 marks

Record the coordinates of the matching point on the inverse graph