Chapter 3 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 f(x) = 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 include quadratic, exponential, and other types of functions.

Tags

CCSS.8.F.A.3

Front

How can you determine if a set of points represents a linear function?

Back

If the differences in the y-values divided by the differences in the x-values (the slope) are constant for all pairs of points, the function is linear.

Tags

CCSS.HSF-LE.A.1B

Front

Given the points (3, 9), (6, 36), (9, 81), (12, 144), (15, 225), is the function linear or nonlinear?

Back

Nonlinear.

Tags

CCSS.8.F.A.3

Front

Given the points (-5, 5), (-4, 4), (-3, 3), (-2, 2), (-1, 1), is the function linear or nonlinear?

Back

Linear.

Tags

CCSS.8.F.A.3

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero (x=0).

Front

Solve for x: f(x) = -2x + 14 when f(x) = 10.

Back

x = 2.

Tags

CCSS.HSF.IF.A.2

Front

What is the dependent variable in the function c = 75m + 225?

Back

c, which represents the cost of gym membership.

Tags

CCSS.6.EE.C.9

Front

What is the general form of a linear equation?

Back

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