Recruitment Edge-Prof x e Chegg Study Guided 5 × e 6 Let F ) * + 3. Explain × 9

Question

Recruitment Edge-Prof x e Chegg Study Guided 5 × e 6 Let F ) * + 3. Explain × 9 6 Let F(x) .+-3. Explain × Y (F) Assignments MATH 12 × 127project1,517 pdf × www.math.uwaterloo.ca/~batorres/UC1/Assignments/127project1,517.pdf 18 11.) The graph of a function f() is shown. Let F(z) be the antiderivative of f(z). (10 marks) "For parts() (vi), choose the best multiple cioice answer(s). Hint: see the text section on Antiderivatives. i. Where is F() increasing? mark) a) r1 and >3 e) F(r) is never increasing. ii. Where is F(r) decreasing? (1 mark) v. doF) have an inflection point? 1 mark b)-= 1 c) r 2 d)-=3 e) There is no inflection point e) Flr) is never decreasing iii. Where is F(r) concave up 1 mark) vi. Where does F(r) have a maxima? (1 mark) a) a 3 e) F(r) is never concave up. e) There is no maxima. iv. Where is F(r) concave down 1 mark) vii. Where does F(z) have a minima? (1 mark) 4:12 PM

Explanation / Answer

i) The function F(x) increases in the region x<1 and x>3 cause we can clearly see from the drawing that the value of y keeps on increasing with increasing value of x

ii) The function F(x) is decreasing in between the region 1<x<3 as from the graph we can see that the value of y keeps on decreasing with increasing value of x in the region 1 to 3

iii) F(x) is concave up in between the region x<0 and x>2

iv) F(x) is concave down in the region 0<x<2

v) for the function F(x) x=2 is a point of inflection

vi) F(x) has a maxima at x=1

vii) F(x) has a minima at x=3

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