Linear and Non-Linear Functions

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Easy
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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 represented by a straight line on a graph, defined by the equation of 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. Examples include quadratic functions, exponential functions, and trigonometric functions.
3.
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).
4.
FLASHCARD QUESTION
Front
How can you determine if a graph represents a function?
Back
You can use the vertical line test: if a vertical line intersects the graph at more than one point, then the graph does not represent a function.
5.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).
6.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.
7.
FLASHCARD QUESTION
Front
Given the function f(x) = 2x + 3, what is f(1)?
Back
f(1) = 2(1) + 3 = 5.
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