# Calculus Optional Quiz - MATH 1231 Optional Quiz Wednesday...

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MATH 1231Optional QuizWednesday, April 22, 2015Pleaseprintyour nameShow your work.1. (10 pts for each part) A functiong(x) has a critical point atx=-1,x= 2 and atx= 7. Giventhe values ofg0(x) belowx-2-112478g0(x)1020-302Circle the correct statement for each critical point.(a)x=-1 is a(i) relative maximum(ii) relative minimum(iii) neither(b)x= 2 is a(i) relative maximum(ii) relative minimum(iii) neither
(c)x= 7 is a
2. (10 pts) Suppose thatf(x) is a function andf0(x) = 5x2-3x-8i.e., the DERIVATIVE off(x) is 5x2-3x-8. USE BASIC ALGEBRA to find thex-coordinateof each critical point off(x). Write down the equation you solve to find the critical points andSHOW all the steps to find it.Answer:3. (10 pts) FindF(x), the specific antiderivative of the functionf(x), wheref(x) = 12x2-4xandF(2) = 5. Show all your work especially any equations you solve.Answer:TURN OVER THIS PAGE
MATH 1231Optional Quiz, April 22, 20152