Label Graphs of Polynomials (w/ Intervals of Increase/Decrease)

Label the significant points of the graph. Scan from left to right to, specifically, label each point.

a

b

c

d

e

X- Intercept (1st)

X-intercept (2nd)

Local Min / Y -intercept

Local Max (2nd)

Local Max (1st)

Based on the end behavior(s) of the function, it can be concluded that the leading terms is ​ (a)   ​ and the degree is ​​ (b)     .

• negative
• even
• positive
• zero
• odd

Label the significant points of the graph. Scan from left to right to, specifically, label each point.

a

b

c

d

e

local max

x-intercept (2nd)

local min

x-intercept (1st)

x-intercept (3rd)

What are the turning points for the graph provided?

• A

• B

• C

• D

Given points...

A (-3.5, 0.6)

B (-3,0)

C (-1.8, -2.1)

D (-1,0)

What are the interval(s) of increase?

Given points...

A (-3.5, 0.6)

B (-3,0)

C (-1.8, -2.1)

D (-1,0)

What are the interval(s) of decrease?

Based on the end behavior(s) of the function, it can be concluded that the leading terms is ​ (a)   and the degree is ​ (b)   .

• positive
• odd
• negative
• zero
• even

Using the graph provided, points [A], [C], and [F] are the ​ (a)   , and point [D] is the ​ (b)   .

• x-intercept(s)
• y-intercept
• slope
• asymptote
• local maximum(s)
• local minimum(s)
• turning points
• amount 
• value

There are three ​ (a)   in the graph provided.

Points [B] and [F] are the ​ (b)   and point [E] is the ​ (c)   .

We use these points to determine the ​ (d)   of increase and decrease.

• slope
• asymptote
• local maximum(s)
• local minimum(s)
• turning points
• intervals
• x-intercept(s)
• y-intercept
• amount
• value

What are the interval(s) of increase for the graph provided?

A (-2, 0)

B (-1.4, -6.2)

C (-0.5, 0)

D (0, 4)

E (0.5, 5.6)

F (2, 0)