Linear and Nonlinear Functions

Linear and Nonlinear Functions

Assessment

Flashcard

Mathematics

8th - 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 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 rate of change is not constant, and it can take various forms such as quadratic, exponential, or logarithmic.

3.

FLASHCARD QUESTION

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant rate of change between the x-values and y-values. If the differences in y-values divided by the differences in x-values are the same, the function is linear.

4.

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.

5.

FLASHCARD QUESTION

Front

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

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It represents the value of the function when x = 0.

6.

FLASHCARD QUESTION

Front

What is the general form of a linear equation?

Back

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

7.

FLASHCARD QUESTION

Front

Can a linear function have a negative slope?

Back

Yes, a linear function can have a negative slope, which means that as x increases, y decreases.

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