Modeling Exponential Functions

Flashcard
•
Mathematics
•
9th Grade
•
Easy
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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 is the y-intercept of a function?
Back
The y-intercept of a function is the value of y when x = 0. It is the point where the graph of the function crosses the y-axis.
3.
FLASHCARD QUESTION
Front
Identify the initial value in the function y = 6.87(4)^x.
Back
The initial value is 6.87, which is the value of y when x = 0.
4.
FLASHCARD QUESTION
Front
What does the letter 'b' represent in the linear equation y = mx + b?
Back
The letter 'b' represents the y-intercept or initial value of the linear function.
5.
FLASHCARD QUESTION
Front
What type of pattern do exponential functions have?
Back
Exponential functions grow or decay by multiplying or dividing by the same number (the base) for each unit increase in x.
6.
FLASHCARD QUESTION
Front
How do you identify an exponential function from a list of functions?
Back
An exponential function has a variable in the exponent, such as f(x) = 3^x, while polynomial functions have variables as bases.
7.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth function?
Back
The general form is f(x) = a * b^x, where a > 0 and b > 1.
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