Linear and Nonlinear Functions

Linear and Nonlinear Functions

Assessment

Flashcard

Mathematics

8th Grade

Hard

CCSS
8.F.A.3, 8.EE.B.5, 8.F.B.4

+4

Standards-aligned

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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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

2.

FLASHCARD QUESTION

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Examples include quadratic functions, exponential functions, and trigonometric functions.

Tags

CCSS.8.F.A.3

3.

FLASHCARD QUESTION

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope (m) of the line, which represents how much y changes for a unit change in x.

Tags

CCSS.HSF-LE.A.1B

4.

FLASHCARD QUESTION

Front

How do you identify a linear equation?

Back

A linear equation can be identified by its standard form, which is Ax + By = C, where A, B, and C are constants, and A and B are not both zero.

5.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

6.

FLASHCARD QUESTION

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every input (x-value) has exactly one output (y-value). This can be tested using the vertical line test.

7.

FLASHCARD QUESTION

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

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