Let f(x)=∫−3xg(t)dt where g is the function whose graph is shown below: (a) Evaluate f(−3) −1 21 43 1 0 −43 −21 23
Posted: Thu Jul 14, 2022 4:08 pm
Let f(x)=∫−3xg(t)dt where g is the function whose graph is shown below: (a) Evaluate f(−3) −1 21 43 1 0 −43 −21 23
(b) Evaluate f(−1) −21 1 21 0 43 −43 −1 23 (c) Evaluate f(0) 23 −43 −21 0 43 −1 1
21 (d) Evaluate f(1) 23 21 −21 −43 43 0 1 −1 (e) Evaluate f(3) −43 23 −1 1 21
−21 0 43 (f) Evaluate f(5) −21 23 21 1 −43 −1 43 0 (g) On what interval(s) is f increasing? (−3,−1) and (1,3) (−3,1) and (1,−3) (−3,1) and (−1,3) (−3,−1) and (1,−3) (−2,−1) and (1,3)
(h) What are the maximum and minimum values of f over [−3,5] ? (23) and (45) (25) and (−23) (23) and (−23) (23) and (−43) (23) and (21) (23) and (−21) (34) and (43)
(b) Evaluate f(−1) −21 1 21 0 43 −43 −1 23 (c) Evaluate f(0) 23 −43 −21 0 43 −1 1
21 (d) Evaluate f(1) 23 21 −21 −43 43 0 1 −1 (e) Evaluate f(3) −43 23 −1 1 21
−21 0 43 (f) Evaluate f(5) −21 23 21 1 −43 −1 43 0 (g) On what interval(s) is f increasing? (−3,−1) and (1,3) (−3,1) and (1,−3) (−3,1) and (−1,3) (−3,−1) and (1,−3) (−2,−1) and (1,3)
(h) What are the maximum and minimum values of f over [−3,5] ? (23) and (45) (25) and (−23) (23) and (−23) (23) and (−43) (23) and (21) (23) and (−21) (34) and (43)