Linear vs Non-linear Functions

Linear vs Non-linear Functions

Assessment

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Mathematics

7th - 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 f(x) = 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 form a straight line when graphed. Its graph can be a curve or any other shape that is not linear.

3.

FLASHCARD QUESTION

Front

How can you identify a linear equation from its graph?

Back

A linear equation can be identified by its graph being a straight line, with a constant slope throughout.

4.

FLASHCARD QUESTION

Front

What is the general form of a linear equation in two variables?

Back

The general form of a linear equation in two variables is Ax + By = C, where A, B, and C are constants.

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 rise over run (change in y over change in x).

6.

FLASHCARD QUESTION

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the function when x = 0.

7.

FLASHCARD QUESTION

Front

Can a linear function have a slope of zero?

Back

Yes, a linear function can have a slope of zero, which means it is a horizontal line.

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