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)

 CLICK HERE FOR A NARRATED LECTURE

 CLICK HERE FOR WRITTEN EXPLANATIONS

Problem 2. Let

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For any h construct and simplify the quotient

.

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

Problem 3. Let

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

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(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,

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Now subtract h( x ) from the latter expression.

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