NY-F.BF.5

Algebra IIBuilding Functions60 target questions

Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

Sample Practice Questions (3)

The graph of

y = 2^{x}

is shown. Which of the following points must lie on the graph of its inverse,

y = lo g_{2} x

(8, 3)

(3, 8)

(2, 1)

(0, 1)

The graphs of

y = 2^{x}

and

y = lo g_{2} (x)

are shown. Over which line are these two graphs symmetric?

y = 0

x = 0

y = x

y = - x

The graph of

f (x) = 2^{x}

and the line

y = x

are shown in the coordinate plane below. If

g (x)

is the inverse of

f (x)

, which statement describes the graph of

g (x)

AIt is the reflection of

f (x)

over the line

y = x

BIt is the reflection of

f (x)

over the

x

-axis.

CIt is the reflection of

f (x)

over the

y

-axis.

DIt is a translation of

f (x)

down

2

units.

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