(a) What is
(b) Does the function f(x) = x2 have an inverse? If so, what is it? If not, why
(c) What is the domain of the function
3. Evaluate the following limits.
4. The function
is differentiable whenever x does not equal 1. Compute the
derivative of f at the point
a, a ≠ 1. (Use only the material from Chapters 1 and 2, i.e., use the definition
derivative we just discussed in the lectures.)
5. Give correct definitions of the following notions.
(a) Define the inverse of a function f.
(b) Define what it means for f to be increasing on the interval I.
(c) Define what it means for f to be differentiable on the interval (a, b).
6. Continuity, etc.
(a) Find a
> 0 such that for all x with 0 < |x − 1| <
(b) Find an integer n such that f(x) = x3 − 5x2 − 4x − 5
has a zero between n and
n + 1. As always, explain why your answer is true.
Start solving your Algebra Problems
in next 5 minutes!
Download (and optional CD)
Click to Buy Now:
2Checkout.com is an authorized reseller
of goods provided by Sofmath
Attention: We are
currently running a special promotional offer
for Algebra-Answer.com visitors -- if you order
Algebra Helper by midnight of
you will pay only $39.99
instead of our regular price of $74.99 -- this is $35 in
savings ! In order to take advantage of this
offer, you need to order by clicking on one of
the buttons on the left, not through our regular
If you order now you will also receive 30 minute live session from tutor.com for a 1$!
You Will Learn Algebra Better - Guaranteed!
Just take a look how incredibly simple Algebra Helper is:
: Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:
Step 2 :
Let Algebra Helper solve it:
Step 3 : Ask for an explanation for the steps you don't understand:
Algebra Helper can solve problems in all the following areas:
simplification of algebraic expressions (operations
with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots
(radicals), absolute values)