Comparing Linear and Nonlinear Functions

What materials do you need to have ready for this lesson?

• A calculator and a ruler

• A laptop and a graphing tool

• A textbook and a pen

• A clean page in your spiral notebook and RPGs opened to page 136

How can you visually identify a linear function from a graph?

• It forms a straight line

• It forms a U-shape

• It forms a circle

• It forms a zigzag pattern

Which of the following is a characteristic of a non-linear function on a graph?

• It forms a straight line

• It changes direction

• It has a constant slope

• It is horizontal

Tags

CCSS.8.F.A.3

What indicates a linear function in an x-y table?

• Both x and y values change by different amounts

• The y values are constant

• The x values are constant

• Both x and y values change by the same amount each time

Tags

CCSS.HSF-LE.A.1B

In an x-y table, if x increases by 1 and y changes by different amounts, what type of function is it?

• Undefined

• Constant

• Non-linear

• Linear

Tags

CCSS.8.F.A.3

How can you determine if an equation represents a linear function?

• If it has an exponent greater than one

• If it forms a U-shape

• If it has x in the denominator

• If it can be written in the form y = mx + b

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which of the following equations is non-linear?

• y = 1 - x^2

• y = 4x/3

• y = 4.7

• y = 0x + 4.7

Tags

CCSS.8.F.A.3

What shape does the graph of y = 1 - x^2 take?

• A straight line

• A U-shape

• An upside-down U-shape

• A horizontal line

Tags

CCSS.HSF-IF.C.7A

When graphing data from a table, what indicates a non-linear function?

• The points form a straight line

• The points form a zigzag pattern

• The points form a curve

• The points are scattered randomly

Tags

CCSS.HSF-IF.C.7A

In the second example of graphing data, why is the function considered linear?

• Because the points form a straight line

• Because the points form a curve

• Because the x values are constant

• Because the y values are constant

Tags

CCSS.8.F.A.3