linear and exponential functions
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a function of the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent.
3.
FLASHCARD QUESTION
Front
How do you determine if a function is linear or exponential?
Back
A function is linear if it has a constant rate of change (the slope is constant). It is exponential if it has a variable rate of change (the growth or decay rate changes).
4.
FLASHCARD QUESTION
Front
What is the slope in a linear function?
Back
The slope (m) in a linear function represents the rate of change of the function. It indicates how much y changes for a unit change in x.
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept (b) is the value of y when x = 0. It represents the point where the line crosses the y-axis.
6.
FLASHCARD QUESTION
Front
Given f(x) = -4x - 10, what is the value of f(0)?
Back
f(0) = -10.
7.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.
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