AP Calc BC Unit 1 Exam Questions and Answers

AP Calc BC Unit 1 Exam Questions and
Answers

Rational Expressions - Correct Answers -Factor + Divide factors + Evaluate

Piecewise Function - Correct Answers -Evaluate left and right sided limits

Expressions from Known Limits - Correct Answers -Rearrange using identities to isolate
know limits + evaluate

Expression Involving Absolute Values - Correct Answers -Rearrange to (| x-c |/x-c)*f(x)
+ Sketch Graph

lim (sin x)/x as x --> 0 = ? - Correct Answers -=1

To define continuity... - Correct Answers -1. f(c) must exist
2. lim f(x) must exist as x--> c
3. f(c) must =lim f(x) as x--> c

IVT Theorem - Correct Answers -If "f" is a function continuous between the interval [a ,
b] then it MUST take on any value between f(a) and f(b).

Squeeze Theorem - Correct Answers -if f(x)≤g(x)≤h(x) for all numbers, and at some
point x=k we have f(k)=h(k), then g(k) must also be equal to them.

If the numerator gets faster then the denominator then... - Correct Answers -equals + or
-∞

if the numerator gets bigger at the same rate as the denominator then... - Correct
Answers -equals the ration of the coefficients

if the denominator gets bigger than the numerator then... - Correct Answers -equals 0

Jump proof - Correct Answers -the right and left side limits are not equal

Expressions w/Radicals - Correct Answers -Multiply numerator and denominator by
conjugate + Evaluate

Unbound proof - Correct Answers -the limit is equal to + or - ∞

Absolute values often... - Correct Answers -cause jump behavior