Linear or Nonlinear Functions

[nycmath]

Precalculus
Michael Sullivan
Edition 10
Chapter 1, Section 3.1

Determine whether the given function is linear or nonlinear. If it is linear, determining the slope.

See attachment.

[Eigenvalue]

The function is linear as it's slope is constant.

Use two points to find the slope: [tex]\frac{-3.5-(-4))}{-1-(-2)}[/tex]=[tex]\frac{0.5}{1}[/tex]=[tex]\frac{1}{2}[/tex]

f(x)=[tex]\frac{1}{2}[/tex]x-3

[nycmath]

The function is linear as it's slope is constant.

Use two points to find the slope: [tex]\frac{-3.5-(-4))}{-1-(-2)}[/tex]=[tex]\frac{0.5}{1}[/tex]=[tex]\frac{1}{2}[/tex]

f(x)=[tex]\frac{1}{2}[/tex]x-3

Much better.