Answers SVLC ALGEBRA 2B - STANDARD 15272Solving Exponential Equations by Rewriting the Base

Evaluating Logarithmic Expressions Answers

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The function is translated 1 unit right and 2 units down. Which is the graph of the translated function?

On a coordinate plane, a curve starts at (negative 1, negative 5) and curves up into quadrant 1. It approaches y = 1.

On a coordinate plane, a curve starts at (1, negative 4) and curves upwards. It approaches y = negative 1.

On a coordinate plane, a curve starts at (negative 1, negative 1) and curves up into quadrant 1. It approaches y = 5.

On a coordinate plane, a curve starts at (1, negative 3) and curves up into quadrant 1. It approaches y = 5.

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Which of the following is the inverse of ?

y = StartFraction 1 Over 3 Superscript x Baseline EndFraction

y = log Subscript 3 Baseline x

y = (one-third) Superscript x

y = log Subscript one-third x

What are the domain and range of ?

domain: x > –6; range: y > 4

domain: x > –6; range: all real numbers

domain: x > 6; range: y > –4

domain: x > 6; range: all real numbers

Which is the graph of a logarithmic function?

On a coordinate plane, a hyperbola is shown.

On a coordinate plane, a straight line is shown.

On a coordinate plane, a parabola is shown.

On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.

Which function is shown in the graph below?

y = log Subscript one-sixth Baseline x

y = log Subscript 0.5 Baseline x

y = log Subscript 1 Baseline x

y = log Subscript 6 Baseline x

Which statement is true?

is not a logarithmic function because the base is greater than 0.

is not a logarithmic function because the base is a square root.

is not a logarithmic function because the base is equal to 1.

is not a logarithmic function because the base is a fraction.

Which of the following is the inverse of ?

y = StartFraction 1 Over 3 Superscript x Baseline EndFraction

y = log Subscript 3 Baseline x

y = (one-third) Superscript x

y = log Subscript one-third x

What is the range of ?

all real numbers less than 0

all real numbers greater than 0

all real numbers not equal to 0

all real numbers

Which of the following is the inverse of ?

y = log Subscript 6 Baseline x

y = log Subscript x Baseline 6

y = log Subscript one-sixth Baseline x

y = log Subscript 6 Baseline 6 x

Which function is shown in the graph below?

y = log Subscript 0.4 Baseline x

y = log Subscript 1 Baseline x

y = log Subscript 3 Baseline x

y = log Subscript 10 Baseline x

What are the domain and range of ?

domain: x > 0; range: all real numbers

domain: x < 0; range: all real numbers

domain: x > 5; range: y > 5

domain: x > 5; range: y > –5

What are the domain and range of ?

domain: x > –6; range: y > 4

domain: x > –6; range: all real numbers

domain: x > 6; range: y > –4

domain: x > 6; range: all real numbers

The graph of a logarithmic function is shown below.What is the domain of the function?

x > –2

x > 0

x < 2

all real numbers

Which is the graph of a logarithmic function?

On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.

On a coordinate plane, a straight line is shown.

On a coordinate plane, a hyperbola is shown.

On a coordinate plane, a parabola is shown.

Which of the following is a logarithmic function?

y = 0.25x

y = x Superscript 0.25

y = log Subscript 0.25 Baseline x

y = (0.25) Superscript x

What is the domain of ?

all real numbers less than 0

all real numbers greater than 0

all real numbers not equal to 0

all real numbers

Which is the graph of a logarithmic function?

On a coordinate plane, a hyperbola is shown.

On a coordinate plane, a straight line is shown.

On a coordinate plane, a parabola is shown.

On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.

Which of the following is the inverse of ?

y = log Subscript 6 Baseline x

y = log Subscript x Baseline 6

y = log Subscript one-sixth Baseline x

y = log Subscript 6 Baseline 6 x

Which statement is true?

is not a logarithmic function because the base is greater than 0.

is not a logarithmic function because the base is a square root.

is not a logarithmic function because the base is equal to 1.

is not a logarithmic function because the base is a fraction.

Which statement is true?

The graph of is the graph of translated 4 units down.

The graph of is the graph of translated 4 units left.

The graph of is the graph of translated 4 units up.

The graph of is the graph of translated 4 units right.

Which properties are present in a table that represents a logarithmic function in the form when ?I. The y-values are always increasing or always decreasing.II. The point (0, 1) exists in the table.III. The y-values will decrease rapidly as the x-values approach zero.IV. There will only be one x-value in the table with a y-value of zero.

I only

I and II only

I, III, and IV

II and III only

What is the domain of ?

all real numbers less than 0

all real numbers greater than 0

all real numbers not equal to 0

all real numbers

Which function is shown in the graph below?

y = log Subscript 0.4 Baseline x

y = log Subscript 1 Baseline x

y = log Subscript 3 Baseline x

y = log Subscript 10 Baseline x

Which function is shown in the graph below?

y = log Subscript one-sixth Baseline x

y = log Subscript 0.5 Baseline x

y = log Subscript 1 Baseline x

y = log Subscript 6 Baseline x

Which statement is true?

The graph of is the graph of translated 4 units down.

The graph of is the graph of translated 4 units left.

The graph of is the graph of translated 4 units up.

The graph of is the graph of translated 4 units right.

The graph of a logarithmic function is shown below.What is the domain of the function?

x > –2

x > 0

x < 2

all real numbers

Which of the following is a logarithmic function?

y = log Subscript 3 Baseline x

y = 3 Superscript x

y = x + 3

y = x cubed

I only

I and II only

I, III, and IV

II and III only

What is the range of ?

all real numbers less than 0

all real numbers greater than 0

all real numbers not equal to 0

all real numbers

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Evaluating Logarithmic Expressions Answers

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