Try the fastest way to create flashcards

# AP Calculus Review Notecards

Get a hint
Find the zeros
Click the card to flip 👆
1 / 79
1 / 79
Terms in this set (79)
aka: find the roots
set function = 0
* graph to find 0s on calculator Algebraically: show that f(-x)=f(x)
Graphically: see if symmetric about the y axis Algebraically: show that f(-x)= -f(x)
Graphically: see if symmetric about the origin Show that lim x→a- f(x) = lim x→a+ f(x) Find values of the function for x-values close to a from BOTH the left AND the right  Think:
* small/big = 0
* big/small = DNE
* same/same = ratio of coefficients

same rules apply to x→-∞ Find lim x→∞ f(x) and lim x→-∞ f(x) Find where lim x->a f(x)=±∞
* factor/reduce f(x) and set denominator = 0
* remember ln x has VA at x=0

It's very important that you remember to factor FIRST before setting your denominator = 0. If a factor in the denominator crosses out with a factor in the numerator, then your function has a HOLE there and not a vertical asymptote. Assume domain is (-∞,∞)
Restrictable domains:
*Denominators ≠ 0
*Square roots of only nonnegative numbers
*Log or ln of only positive numbers
*Real world constraints (ie: time≥0) Show that 1=2=3:
1. lim x->a⁺ f(x)
2. lim x-> a⁻ f(x)
3. f(a) Find derivative f '(a) = m 