
Understanding Logarithmic Functions and Transformations

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 general form of a logarithmic function?
y = x^b
y = ln(x)
y = b^x
y = log base b of x
Tags
CCSS.HSF-IF.C.7E
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a property of the basic natural log function?
It has a vertical asymptote at x = 1
It has a horizontal asymptote at y = 0
Its range is all real numbers
It is undefined for x > 0
Tags
CCSS.HSF-IF.C.7E
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the horizontal intercept of the basic natural log function?
(1, 1)
(0, 0)
(1, 0)
(0, 1)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the function g(x) = -ln(x-6), what is the domain?
x > 0
x > 6
x < 6
x < 0
Tags
CCSS.HSF-IF.C.7E
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertical asymptote of the function g(x) = -ln(x-6)?
x = 1
x = -6
x = 6
x = 0
Tags
CCSS.HSF-IF.C.7E
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the negative sign in g(x) = -ln(x-6) affect the graph?
It stretches the graph vertically
It shifts the graph left
It reflects the graph across the x-axis
It shifts the graph up
Tags
CCSS.HSF.BF.B.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What transformation occurs when x is replaced by x-6 in the function g(x) = -ln(x-6)?
Vertical shift up
Vertical shift down
Horizontal shift right
Horizontal shift left
Tags
CCSS.HSF-IF.C.7E
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