Exponential Functions flashcard

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•
Mathematics
•
9th - 12th Grade
•
Hard
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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 a positive real number, and x is the exponent.
2.
FLASHCARD QUESTION
Front
What does it mean for a function to be increasing?
Back
A function is increasing if, as x increases, the value of f(x) also increases.
3.
FLASHCARD QUESTION
Front
What does it mean for a function to be decreasing?
Back
A function is decreasing if, as x increases, the value of f(x) decreases.
4.
FLASHCARD QUESTION
Front
What is the y-intercept of a function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis, which occurs when x=0.
5.
FLASHCARD QUESTION
Front
What is an asymptote?
Back
An asymptote is a line that a graph approaches but never touches or crosses.
6.
FLASHCARD QUESTION
Front
How do you find the y-intercept of an exponential function?
Back
To find the y-intercept of an exponential function, substitute x=0 into the function and solve for f(0).
7.
FLASHCARD QUESTION
Front
What is the general shape of the graph of an increasing exponential function?
Back
The graph of an increasing exponential function rises steeply as x increases.
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