PA05-3 DetermineLinearNonlinearFunctions

Math Response

Use the table to find the constant rate of change in population per year.

(change in population divided by change in year)

Type answer here

Correct Answer: 50

Deg^°

Rad

Math Response

Write the equation of a line, in slope-intercept form, with a slope of −3 and a y-intercept of 8.

Type answer here

Correct Answer: y=-3x+8

Deg^°

Rad

Math Response

Write the equation of a line, in slope-intercept form, that passes through the points (−2, −4) and (2, 12) with a y-intercept of 8.

Type answer here

Correct Answer: y=4x+8

Deg^°

Rad

Multiple Choice

Linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Linear or nonlinear?

• Linear

• Nonlinear

Open Ended

But the graph is composed of multiple straight lines... so why is this nonlinear?

​The area of a square can be found using the function A = s², where s represents the length of any side of the square.

Open Ended

The arrow at the end of line means that the points will continue in that direction infinitely. What is the domain and range of this function?

Multiple Choice

Linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Linear or nonlinear?

• Linear

• Nonlinear

Linear Equations

Variables with exponents

A variable as a denominator

A variable as an exponent

Cannot contain:

Must be possible to write equation in slope-intercept form, y= mx + b

Graph of equation must be a straight line

Rules:

Multiple Choice

Linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Which relationship in the table is nonlinear? Write a mathematical argument that can be used to defend your solution.

• Time (s)

• Height (yd)

• Distance (yd)