
Understanding Logarithmic Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of the logarithmic function y = log base b of x?
The open interval from negative infinity to zero
The open interval from negative infinity to positive infinity
The open interval from zero to infinity
The closed interval from zero to infinity
Tags
CCSS.HSF-IF.C.7E
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the negative sign in y = -log base 3 of x affect the domain, range, and vertical asymptote?
It does not change the domain, range, or vertical asymptote
It changes the domain
It changes the range
It changes the vertical asymptote
Tags
CCSS.HSF-IF.C.7E
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in graphing the logarithmic function by hand?
Calculating the range
Drawing the vertical asymptote
Isolating the logarithm
Plotting points on the graph
Tags
CCSS.HSF.BF.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When converting the logarithmic equation to an exponential equation, what is the resulting form?
b raised to the power of x equals y
b raised to the power of negative y equals x
b raised to the power of negative x equals y
b raised to the power of y equals x
Tags
CCSS.HSF-IF.C.7E
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do we select y-values instead of x-values when calculating points for the graph?
Because x is in the position of the exponent
Because it changes the domain
Because it simplifies the calculation
Because y is in the position of the exponent
Tags
CCSS.HSF.BF.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If y = 0, what is the corresponding x-value in the exponential equation 3^(-y) = x?
9
3
1
0
Tags
CCSS.HSF.BF.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-value when y = -1 in the equation 3^(-y) = x?
9
3
1/3
1
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