AnswersAdvanced Algebra Concepts and ConnectionsGraphing Logarithmic Functions

Graphing Logarithmic Functions — Quiz Answers

10 verified answers
1
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What are the domain and range of f of x is equal to log x minus 5 ?

A
domain: x is less than 0 ; range: all real numbers
B
domain: x is greater than 0 ; range: all real numbers
C
domain: x is greater than 5 ; range: y is greater than 5
D
domain: x is greater than 5 ; range: y is greater than negative 5
2
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Which of the following is the inverse of y is equal to 3 to the x th power ?

A
y is equal to the log base 1 third of x
B
y is equal to the log base 3 of x
C
y is equal to the fraction with numerator 1 and denominator 3 to the x th power
D
y is equal to 1 third to the x th power
3

Which of the following is a logarithmic function?

A
y is equal to the log base 0 point 2 5 of x
B
y is equal to 0 point 2 5 to the x th power
C
y is equal to 0 point 2 5 x
D
y is equal to x raised to the 0 point 2 5 power
4

What is the range of y is equal to the log base 8 of x ?

A
all real numbers less than 0
B
all real numbers greater than 0
C
all real numbers not equal to 0
D
all real numbers
5

Which statement is true?

A
y is equal to the log base 10 of x is not a logarithmic function because the base is greater than 0 .
B
y is equal to the log base square root of 3 of x is not a logarithmic function because the base is a square root.
C
y is equal to the log base 1 of x is not a logarithmic function because the base is equal to 1 .
D
y is equal to the log base 3 fourths of x is not a logarithmic function because the base is a fraction.
6

Which of the following is a logarithmic function?

A
y is equal to the log base 3 of x
B
y is equal to 3 to the x th power
C
y is equal to x cubed
D
y is equal to x plus 3
7

What is the domain of y is equal to the log base 5 of x ?

A
all real numbers greater than 0
B
all real numbers
C
all real numbers less than 0
D
all real numbers not equal to 0
8

Which of the following is the inverse of y is equal to 6 to the x th power ?

A
y is equal to the log base x of 6
B
y is equal to the log base 1 sixth of x
C
y is equal to the log base the log base 6 of 6 of x
D
y is equal to the log base 6 of x
9

Which is the graph of a logarithmic function?

A
Image with description On a coordinate plane, the x-axis lists negative 2 to 8 by 1, and the y-axis lists negative 5 to 5 by 1. The graph has a hyperbola. The curve above the x-axis has a vertex at (4 comma 1) and the curve below the x-axis has a vertex at (2 comma negative 1).
B
Image with description On a coordinate plane, the x-axis lists negative 2 to 8 by 1, and the y-axis lists negative 5 to 5 by 1. The graph has a curve that originates from (0 comma negative 2 point 5), moves up, and intersects the x-axis at (1 comma 0). It passes through (3 comma 1) and (8 comma 2).
C
Image with description On a coordinate plane, the x-axis lists negative 2 to 8 by 1, and the y-axis lists negative 5 to 5 by 1. The graph has a parabola that opens upwards, with a vertex at (4 comma 0). It passes through (2 comma 4) and (6 comma 4).
D
Image with description On a coordinate plane, the x-axis lists negative 2 to 8 by 1, and the y-axis lists negative 5 to 5 by 1. The graph has a straight line with a negative slope that has an x-intercept at (3 comma 0) and a y-intercept at (0 comma 3).
10

What are the domain and range of f of x is equal to the log of open paren x plus 6 close paren minus 4 ?

A
domain : x is greater than 6 ; range: y is greater than negative 4
B
domain: x is greater than 6 ; range: all real numbers
C
domain: x is greater than negative 6 ; range: all real numbers
D
domain: x is greater than negative 6 ; range: y is greater than 4

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