If f(x) = 3x4 + 4x³ – 12x² + 12, then f(x) is(1) increasing in (-∞, - 2) and in (0, 1)(2) increasing in (-2, 0) and in (1, 0)(3) decreasing in (-2, 0) and in (0, 1)(4) decreasing in (-∞, -2) and in (1, ∞)

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Answered: If f(x) = 3x4 + 4x³ – 12x² + 12, then…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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2) F(x) = 4x14- 3x3 (-x) = -ux4 +bxc Neither E(-)- 4(-x)"-う、(x)? h*n= (x-)J F(-x) = 4(1xú)-37-3 4x4+3x3 f(-x)-ux4-3(-x)3 3) f(x) = 2x - 5x3 f(-x)=2 (x5) - S(-x)3 odd C(->) =-2x5-5(1.1)3 x3) F (-x) = -2x5-5(-x5) Evaluate the function for the given value of x. -2x 4) f (x) = -3x, g(x) = |x + 21, 3(-5) -3メ X+z | 3X -15 -ニ -5x-14 8) |(-5) +21 -15 Tx+21 Evaluate the function for the given values of x. 5) (-2x - 5, for x 3 5- 4- 3- -2- 6 -5 4 -3-2 -1 2 3 4 5 6 X 1.
(A) [-4, 0] (В) (6, ») (C) [-4, 0] U [6, ∞) (D) [-4, 6] (5) Given f(x) = x³ + 2x² – 5x – 4, how many values of x does f(x) = 2, for 0 < x < 10? (A) None (B) One (C) Two (D) Three
3) f(x)=x²-5x-6 4 1 4) f(x)= x³ x³ (ans.: max.(-1,-2); min.(1,-10)) (ans.: min.(0.25,-0.47 ))
If ()=V2- and 9()=1-1 then find the domain of A(x)= f(x)÷g(=) then find the domain of ()= f(r)÷g(r) and OA (-00,1)U(-1,2] OB. (-00,1)U(1,2] Oc (-00,2)(1,2] OD. (-00,-1)U(4,2] O E. (-0,-2)U(1,2] OC.
24) If f(x)=x²-x+ 1 and g(x)=x-2, g(f(x)) = a. x² - 5x+7 b. x2-5x+3 c. x²-x-1

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If f(x) = 3x4 + 4x³ – 12x² + 12, then f(x) is (1) increasing in (-∞, - 2) and in (0, 1) (2) increasing in (-2, 0) and in (1, 0) (3) decreasing in (-2, 0) and in (0, 1) (4) decreasing in (-∞, -2) and in (1, ∞)