Exponential Graphs
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the y-intercept of an exponential function?
Back
The y-intercept is the point where the graph crosses the y-axis, represented as (0, f(0)). For example, in the function y = 2^x, the y-intercept is (0, 1).
Tags
CCSS.HSF-IF.C.7E
2.
FLASHCARD QUESTION
Front
What is an asymptote in the context of exponential graphs?
Back
An asymptote is a line that the graph approaches but never touches. For example, the horizontal asymptote of the function y = 2^x is y = 0.
Tags
CCSS.HSF-IF.C.7E
3.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential growth?
Back
Exponential growth occurs when a function increases rapidly as the input increases. For example, y = 2^x shows exponential growth.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential decay?
Back
Exponential decay occurs when a function decreases rapidly as the input increases. For example, y = (1/2)^x shows exponential decay.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
How do you identify the y-intercept from a graph?
Back
The y-intercept can be identified as the point where the graph intersects the y-axis, which occurs when x = 0.
6.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
The general form of an exponential function is y = a * b^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent.
Tags
CCSS.HSF.LE.A.2
7.
FLASHCARD QUESTION
Front
What is the base in an exponential function?
Back
The base is the constant 'b' in the function y = a * b^x, which determines the rate of growth or decay.
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