Learning to graph a logarithm step by step by applying transformations

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between logarithmic and exponential functions?
They are the same.
They are inverses of each other.
They are both linear functions.
They are unrelated.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the parent graph of a logarithmic function, where is the X-intercept located?
(0, 0)
(1, 1)
(0, 1)
(1, 0)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the base of a logarithm affect its graph?
It makes the graph linear.
It has no effect.
It changes the X-intercept.
It affects the sharpness of the curve.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to a graph when it is shifted 5 units to the left?
It moves 5 units to the right.
It moves 5 units to the left.
It moves 5 units up.
It moves 5 units down.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an asymptote in the context of graph transformations?
A line that the graph approaches but never touches.
A point where the graph crosses the Y-axis.
A point where the graph crosses the X-axis.
A line that the graph intersects.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of a logarithmic function after a left shift of 5 units?
From -infinity to 5
From -infinity to infinity
From 0 to infinity
From -5 to infinity
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the range of a logarithmic function behave as it moves to the right?
It decreases slightly.
It remains constant.
It decreases.
It increases slightly.
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