Graphing Logarithmic Functions Answers
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1
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What are the domain and range of ?
A
domain: x > –6; range: y > 4B
domain: x > –6; range: all real numbersC
domain: x > 6; range: y > –4D
domain: x > 6; range: all real numbers2
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The function is translated 1 unit right and 2 units down. Which is the graph of the translated function?
A
On a coordinate plane, a curve starts at (negative 1, negative 5) and curves up into quadrant 1. It approaches y = 1.
B
On a coordinate plane, a curve starts at (1, negative 4) and curves upwards. It approaches y = negative 1.
C
On a coordinate plane, a curve starts at (negative 1, negative 1) and curves up into quadrant 1. It approaches y = 5.
D
On a coordinate plane, a curve starts at (1, negative 3) and curves up into quadrant 1. It approaches y = 5.
3
The graph of a logarithmic function is shown below.What is the domain of the function?
A
x > –2B
x > 0C
x < 2D
all real numbers4
Sebastian used the table and correctly identified that the data does not represent a logarithmic function. 12044506What information did Sebastian use in his deduction?
A
The table does not show a vertical asymptote.B
The table shows two y-intercepts and it changes from increasing to decreasing.C
The table shows one x-intercept and one y-intercept.D
The table shows two x-intercepts and it changes from increasing to decreasing.5
Which of the following is the inverse of ?
A
y = log Subscript 6 Baseline x
B
y = log Subscript x Baseline 6
C
y = log Subscript one-sixth Baseline x
D
y = log Subscript 6 Baseline 6 x
6
Which is the graph of a logarithmic function?
A
On a coordinate plane, a hyperbola is shown.
B
On a coordinate plane, a straight line is shown.
C
On a coordinate plane, a parabola is shown.
D
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.
7
Which table represents the graph of a logarithmic function in the form when ?
A
mc029-3.jpg
B
mc029-4.jpg
C
mc029-5.jpg
D
mc029-6.jpg
8
Which function is shown in the graph below?
A
y = log Subscript one-sixth Baseline x
B
y = log Subscript 0.5 Baseline x
C
y = log Subscript 1 Baseline x
D
y = log Subscript 6 Baseline x
9
What is the domain of ?
A
all real numbers less than 0B
all real numbers greater than 0C
all real numbers not equal to 0D
all real numbers10
Which is the graph of a logarithmic function?
A
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.
B
On a coordinate plane, a straight line is shown.
C
On a coordinate plane, a hyperbola is shown.
D
On a coordinate plane, a parabola is shown.
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