Key Features of Linear, Quadratic and Exponential Functions

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•
Mathematics
•
9th Grade
•
Hard
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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 y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c, where a, b, and c are constants.
3.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is the base, and x is the exponent.
4.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit growth?
Back
A function exhibits growth when its output increases as the input increases, typically seen in exponential functions.
5.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit decay?
Back
A function exhibits decay when its output decreases as the input increases, commonly seen in exponential decay functions.
6.
FLASHCARD QUESTION
Front
How do you find the slope of a linear function?
Back
The slope of a linear function can be found by taking the difference in y-values divided by the difference in x-values between two points on the line.
7.
FLASHCARD QUESTION
Front
What are x-intercepts and y-intercepts?
Back
The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).
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