Linear Functions, Non-Linear Functions, and Not a Function

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•
Mathematics
•
8th Grade
•
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 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 a non-linear function?
Back
A non-linear function is a function that does not create a straight line when graphed. It can include quadratic, exponential, and other types of equations.
3.
FLASHCARD QUESTION
Front
What does the term 'not a function' mean?
Back
A relation is 'not a function' if there are two or more outputs for a single input. For example, the relation {(1, 2), (1, 3)} is not a function.
4.
FLASHCARD QUESTION
Front
What is the slope in the equation y = mx + b?
Back
The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in the equation y = mx + b?
Back
The y-intercept (b) is the value of y when x is 0. It is the point where the line crosses the y-axis.
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 between the x-values and y-values. If the differences in y-values divided by the differences in x-values are constant, it is linear.
7.
FLASHCARD QUESTION
Front
What is the equation of a line with a slope of 2 and a y-intercept of 3?
Back
The equation is y = 2x + 3.
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