AP Calculus ABChapter 3, Section 6

A Summary of Curve Sketching2013 - 2014

Analyzing graphs• Here are some concepts you have studied that determine how a

graph looks:– X-intercepts and y-intercepts– Symmetry– Domain & range– Continuity– Vertical asymptotes– Differentiability– Relative extrema– Concavity– Points of inflection– Horizontal asymptotes– Infinite limits at infinity

Graph the function

• What is an appropriate viewing window?

When analyzing graphs of functions, why is it important to

know where ?

Without using a calculator, see if you can sketch the graph of the function by analyzing it using

the different ways listed on the first slide.

𝑓 (𝑥 )=2(𝑥2−9 )𝑥2−4

Without using a calculator, see if you can sketch the graph of the function by analyzing it using

the different ways listed on the first slide.

𝑓 (𝑥 )=𝑥2−2𝑥+4(𝑥−2 )2

Analyze and sketch the graph of

Ch. 3.6 Homework

• Pg 215 – 217, #’s: 1 – 5, 15, 27, 57, 75

• 9 total problems

Analyze and sketch the graph of