1,3 math

f (x) = mx + b

• linear function

• Identity Functions

• Constant Functions

• Horizontal lines

• Vertical lines

𝐼𝑓 𝑚 = 1 𝑎𝑛𝑑 𝑏 = 0, the function is the

𝑦 = 𝑚𝑥 + 𝑏
𝑦 = 1·𝑥 + 0

𝑦 = 𝑥 or 𝑓(𝑥) = 𝑥

• linear function

• Identity Functions

• Constant Functions

• Horizontal lines

• Vertical lines

𝐼𝑓 𝑚 = 0, the function is a

y = mx + b

y = 0 * x + b, or

y = b or f (x) = b

(Horizontal line)

• linear function

• Identity Functions

• Constant Functions

• Horizontal lines

• Vertical lines

are given by equations of the type
𝑦 = 𝑏 𝑜𝑟 𝑓(𝑥) = 𝑏.

(They are functions.)

• linear function

• Identity Functions

• Constant Functions

• Horizontal lines

• Vertical lines

are given by equations of the type

𝑥 = 𝑎.

(They are not functions.)

• linear function

• Identity Functions

• Constant Functions

• Horizontal lines

• Vertical lines

the change in 𝑦 for any two points is 0 : and the change in 𝑥 is nonzero.

slope 𝟎 (𝒎 = 𝟎)

• Horizontal Lines

• Vertical Lines

• Average Rate of Change

• Slope-Intercept Equations of Lines

the change in 𝑦 for any two points is nonzero and the change in 𝑥 is 0.

the slope is not defined because we cannot divide by 0.

• Horizontal Lines

• Vertical Lines

• Average Rate of Change

• Slope-Intercept Equations of Lines