Linear vs. Nonlinear Functions Day 3

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Mathematics
•
9th 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 a constant rate of change and 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 nonlinear function?
Back
A nonlinear function is a function that does not create a straight line when graphed. Its rate of change is not constant, and it can be represented by equations that include exponents, roots, or other non-linear terms.
3.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, then the graph does not represent a function.
4.
FLASHCARD QUESTION
Front
How can you tell if a table of values represents a linear function?
Back
A table represents a linear function if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.
5.
FLASHCARD QUESTION
Front
What does it mean for a relation to be a function?
Back
A relation is a function if every input (x-value) has exactly one output (y-value). This means no x-value can be paired with more than one y-value.
6.
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). It indicates how much y changes for a unit change in x.
7.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept of a linear function is the point where the graph intersects the y-axis. It is the value of y when x is 0.
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