
End Behavior and Asymptotes of Logarithmic Functions

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

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the term 'end behavior' refer to in the context of functions?
The behavior of a function as x approaches positive or negative infinity.
The behavior of a function as x approaches zero.
The maximum value of a function.
The initial value of a function.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of logarithmic functions, what is an asymptote?
A point where the function is undefined.
A line that the graph of the function approaches but never touches.
The maximum value of the function.
A point where the function crosses the x-axis.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the function f(x) = 3 + log(7x - 5), what is the new asymptote after transformations?
x = -5
x = 3
x = 5
x = 0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to f(x) = 3 + log(7x - 5) as x approaches positive infinity?
f(x) approaches negative infinity.
f(x) remains constant.
f(x) approaches zero.
f(x) approaches positive infinity.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function g(x) = 7 - log(4x + 3), what transformation occurs due to the negative sign?
A shift to the right.
A reflection across the x-axis.
A reflection across the y-axis.
A shift upwards.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For g(x) = 7 - log(4x + 3), what is the new asymptote after transformations?
x = 7
x = 3
x = -3
x = 0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the end behavior of g(x) = 7 - log(4x + 3) as x approaches positive infinity?
g(x) approaches positive infinity.
g(x) approaches zero.
g(x) approaches negative infinity.
g(x) remains constant.
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