**Evaluating Functions**

Try Problem 1 on your own, then listen to the explanations by clicking on the link below. If you understand Problem 1, you should easily solve the next two problems.

**Problem 1.**
** **
** **
Let

.

for any , construct and simplify as far as possible the difference quotient

.

**(A) **
**(B) **
** **
**(C) **
**(D) **
** **

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**Problem 2.**
** **
Let

.

For any
*h *
construct and simplify the quotient

.

**(A) **
** **
**(B) **
**(C) **
** **
**(D) **
0

**Problem 3.**
** **
Let

.

For any
*x*
and
*h*
, construct and simplify the expression:

.

**(A) **
** **
**(B) **
** **
** **
**(C) **
*h*
**(D) **

**Hint:**
** **
Think carefully what is
. Rememeber, what ever you substitute for
*x*
in the function h, the function takes the squre of it, multiplies it by 5, and subtracts 4 times the thing you substituted. Hence,

.

Now subtract h(
*x*
) from the latter expression.

*MTH 111 Quizzes and Tutorials, B. Kaskosz and L. Pakula, 2002.*