Linear and Nonlinear Functions

Linear and Nonlinear Functions

Assessment

Flashcard

Mathematics

8th Grade

Hard

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

+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. Its rate of change is not constant.

Tags

CCSS.8.F.A.3

3.

FLASHCARD QUESTION

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

4.

FLASHCARD QUESTION

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, represented by the term 'b' in the equation y = mx + b.

5.

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.

6.

FLASHCARD QUESTION

Front

How do you find the rate of change from a table of values?

Back

To find the rate of change, calculate the difference in y-values divided by the difference in x-values between two points.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

7.

FLASHCARD QUESTION

Front

What is the initial value in the equation y = 8x + 6?

Back

The initial value is 6, which is the y-intercept of the function.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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