What is a linear function?
Linear vs Exponential Functions

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = 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 in which an independent variable appears in the exponent. It has the form y = ab^x, where a is a constant, b is the base, and x is the exponent.
3.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is Ax + By = C, where A, B, and C are constants.
4.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis, representing the value of y when x = 0.
6.
FLASHCARD QUESTION
Front
How can you identify a linear function from a table of values?
Back
A linear function will have a constant rate of change; the difference in y-values divided by the difference in x-values will be the same for all pairs of points.
7.
FLASHCARD QUESTION
Front
How can you identify an exponential function from a table of values?
Back
An exponential function will show a constant multiplicative rate of change; the ratio of consecutive y-values will be the same.
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