logarithmic and exponential inverses and graphs
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the inverse of an exponential function?
Back
A logarithmic function.
Tags
CCSS.HSF-BF.B.4A
2.
FLASHCARD QUESTION
Front
True or False: The inverse of an exponential function is its reflection across the x-axis.
Back
False. The inverse is a reflection across the line y=x.
Tags
CCSS.HSF-BF.B.4A
3.
FLASHCARD QUESTION
Front
What is the horizontal asymptote of the function f(x) = 3(2)^(x-4) + 5?
Back
y = 5.
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
f(x) = a * b^x, where a is a constant and b is the base.
5.
FLASHCARD QUESTION
Front
What is the general form of a logarithmic function?
Back
f(x) = log_b(x), where b is the base.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
How do you convert an exponential equation to logarithmic form?
Back
If b^y = x, then log_b(x) = y.
Tags
CCSS.HSF.BF.B.5
7.
FLASHCARD QUESTION
Front
What is the base of the natural logarithm?
Back
e (approximately 2.718).
Tags
CCSS.HSF.BF.B.5
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