Linear or Non-Linear

Front

What is a linear function?

Back

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. It can include curves, parabolas, and other shapes, and can be represented by equations that include exponents, logarithms, or other non-linear terms.

Tags

CCSS.8.F.A.3

Front

What is the general form of a linear equation?

Back

Front

What is the slope of a line?

Back

Tags

CCSS.8.EE.B.5

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values (x) increase, the output values (y) also increase. This is typically represented by a positive slope.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values (x) increase, the output values (y) decrease. This is typically represented by a negative slope.

Front

What is a quadratic function?

Back

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.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is the significance of exponents in determining if a function is linear or nonlinear?

Back

Tags

CCSS.8.F.A.3

Front

What is a slope-intercept form of a linear equation?

Back

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6