Curve Sketching Flashcards
(13 cards)
Domain of fraction
denominator ≠ 0
Domain of radical
inside ≥ 0
Domain of ln
inside > 0
How to find VAs
simplify and set denominator =0
How to find HAs
find lim x approaches + and - infinity
How to find ciritcal numbers
set f’(x) top and bottom = 0
How to find increasing and decreasing intervals
use number line from 1st derivative test and sign analysis values
How to find inflection points
set top and bottom of f’‘(x)=0
How to find local min an max
use number line and critical numbers from increasing/decreasing test.
do f(c) to find y value of point
How to find inflection points
set f’‘(x)=0 and solve for inflection points
Do you solve top and bottom of f’‘(x) for inflection points?
no just top
What do you plug test values into for sign analysis to find concavity
f’‘(x)
How to find absolute extrema
plug endpoints and critical numbers into f(x)
(ensure answers are on interval)
