
Key Features of Exponential Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
A mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.
2.
FLASHCARD QUESTION
Front
What is the y-intercept of an exponential function?
Back
The point where the graph intersects the y-axis, typically found by evaluating f(0). For example, in f(x) = 3 * 2^x, the y-intercept is 3.
Tags
CCSS.HSF-IF.C.7E
3.
FLASHCARD QUESTION
Front
What does the term 'domain' refer to in functions?
Back
The set of all possible input values (x-values) for the function.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
4.
FLASHCARD QUESTION
Front
What does the term 'range' refer to in functions?
Back
The set of all possible output values (y-values) for the function.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
5.
FLASHCARD QUESTION
Front
What is the x-intercept of an exponential function?
Back
Exponential functions do not have x-intercepts because they never touch the x-axis.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What is the general shape of the graph of an exponential function?
Back
The graph rises rapidly to the right and approaches the x-axis but never touches it.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What does it mean when x → -∞ in the context of exponential functions?
Back
It indicates that as x decreases without bound, the function approaches zero.
Tags
CCSS.HSF-IF.C.7E
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