Exponential Graphs- asymptotes, domain, range
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an exponential growth graph?
Back
An exponential growth graph shows a rapid increase in value as the input (x) increases, typically represented by the function f(x) = a * b^x, where a > 0 and b > 1.
2.
FLASHCARD QUESTION
Front
What is an exponential decay graph?
Back
An exponential decay graph shows a rapid decrease in value as the input (x) increases, typically represented by the function f(x) = a * b^x, where a > 0 and 0 < b < 1.
3.
FLASHCARD QUESTION
Front
What is an asymptote?
Back
An asymptote is a line that a graph approaches but never touches. It can be horizontal, vertical, or oblique.
4.
FLASHCARD QUESTION
Front
What is the horizontal asymptote of the function f(x) = 2^x - 5?
Back
The horizontal asymptote is y = -5.
5.
FLASHCARD QUESTION
Front
What is the vertical asymptote of the function f(x) = 1/(x + 4)?
Back
The vertical asymptote is x = -4.
6.
FLASHCARD QUESTION
Front
What is the domain of an exponential function?
Back
The domain of an exponential function is all real numbers, expressed as (-∞, ∞).
7.
FLASHCARD QUESTION
Front
What is the range of an exponential growth function?
Back
The range of an exponential growth function is (0, ∞) if the function approaches a horizontal asymptote at y = 0.
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