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.