Linear vs Nonlinear Functions Review Flashcard

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

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.

Tags

CCSS.8.F.A.3

Front

How can you identify a linear function from its equation?

Back

A linear function can be identified by its equation in the form y = mx + b. If the equation includes variables raised to a power greater than one, it is nonlinear.

Tags

CCSS.8.F.A.3

Front

What is the slope of a linear function?

Back

The slope of a linear function (m) represents the rate of change of the function. It indicates how much y changes for a unit change in x.

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CCSS.8.EE.B.5

Front

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

Back

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

Front

Give an example of a linear function.

Back

An example of a linear function is f(x) = 2x + 3.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Give an example of a nonlinear function.

Back

An example of a nonlinear function is f(x) = x^2 + 2.

Tags

CCSS.8.F.A.3

Front

What is the graph of a linear function like?

Back

The graph of a linear function is a straight line that can slope upwards, downwards, or be horizontal.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the graph of a nonlinear function like?

Back

The graph of a nonlinear function can be curved or have various shapes, depending on the type of function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the difference between linear and nonlinear equations?

Back

Linear equations have a constant rate of change and can be represented as a straight line, while nonlinear equations have a variable rate of change and do not form a straight line.

Tags

CCSS.8.F.A.3