Comparing Linear and Nonlinear Functions (Week #7)

Comparing Linear and Nonlinear Functions (Week #7)

Assessment

Flashcard

Mathematics

8th - 9th Grade

Hard

Created by

Wayground Content

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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.

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 and y values, meaning the ratio of the change in y to the change in x is the same for all intervals.

4.

FLASHCARD QUESTION

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) corresponds to more than one output (y-value).

5.

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).

6.

FLASHCARD QUESTION

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of y when x = 0.

7.

FLASHCARD QUESTION

Front

If a function is represented by the equation y = 2x + 3, is it linear or nonlinear?

Back

It is a linear function because it can be expressed in the form y = mx + b.

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