Exponential Function Transformations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
Determine the horizontal asymptote for the function f(x) = 3(2)^(x-4) + 5.
Back
y = 5.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
What does it mean to reflect a function over the x-axis?
Back
Reflecting a function over the x-axis means to invert the output values, changing f(x) to -f(x).
Tags
CCSS.HSF.BF.B.3
5.
FLASHCARD QUESTION
Front
If y = -2^(x - 3), what is the transformation from its parent function?
Back
Reflected about the x-axis and translated right 3.
Tags
CCSS.HSF.BF.B.3
6.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = 2^x?
Back
The range is y > 0.
7.
FLASHCARD QUESTION
Front
What does it mean to translate a function?
Back
Translating a function means shifting its graph horizontally and/or vertically without changing its shape.
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