Linear and Nonlinear Functions

Linear vs. Nonlinear

Functions

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Multiple Select

To determine if a relation in a table is a linear function, I need to

• Use the vertical line test.

• Check $$\frac{\Delta y}{\Delta x}$$

  This rate of change must be the same.

• Look for the y-intercept.

• Look for the initial value.

Multiple Choice

Is this table showing a linear or nonlinear function?

• Linear, the slope is constant

• Nonlinear, the slope is not constant

Multiple Choice

Is this table showing a linear or nonlinear function?

• Linear, the slope is constant

• Nonlinear, the slope is not constant

Match

Match the following

Linear; it is written in form y=mx

Nonlinear; x is in the denominator

nonlinear; x is squared; not in y=mx +b format

Linear; it is in y=mx+b

nonlinear; taking the square root of x;

not in y=mx +b format

• Linear; it is written in form y=mx

• Nonlinear; x is in the denominator

• nonlinear; x is squared; not in y=mx +b format

• Linear; it is in y=mx+b

• nonlinear; taking the square root of x;

  not in y=mx +b format