Let f(x) = x3 – 3x – 2 be a polynomial function.29 -What is the increasing interval (or intervals) of f(x)?(-1,0) U (1, 0)A)(-1, 00)B)(-00, –1) U (1, 0o)(-1,1)D)E) (-00, -2)

Answered: Image /qna-images/answer/dea8a348-091a-496c-9cf7-d67e2770c780.jpg

Answered: Let f(x) = x3 – 3x – 2 be a polynomial…

Let f(x) = x3 – 3x – 2 be a polynomial function. What is the increasing interval (or intervals) of f(x) ? O A) (-1,0) U (1, 0) B) (-1, 0) (-00, –1) U (1, 0o) O D) (-1,1) N E) (-00, -2)

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...

See similar textbooks

Similar questions

In which of the following interval the root of the function f(x) = x³ - 26x + 5 lie from x = 0 to x = 1, with a step size of 0.1. O [0.2, 0.3] O [0.1, 0.2] O [0, 0.1] O [0.4, 0.5]
6. Write the formulas of f og for pairs of real functions f,g. (a) f(r) = x², g(x) = x – 2 =* +2z² +1 (b) f(x) = 1,9(r) %3D
2. Let f: RR by f(x) = -2x + 1. Let A = [2,5] B = [-1,3] C = [−2,3] D = [1, 4]. Find each of the following: (a) f(A) * (b) f-¹(f(A)) (c) f-¹(C) * (d) f(f¹(C)) * (e) f(ANB) *(f) f(A) f(B) (g) f¹(CD) (h) f(C)nf¹ (D)
Let f ( x ) = x^ 2 − 1 and g ( x ) = 3 x. Find ( f ∘ g ) ( x ). group of answers 3x^3 − 3x 3 x^2 − 3 9x^2 − 1 3x^2- 1
The following table gives the number I = I(t), in millions, of adult Americans with Internet access in year t. t = Year 2000 2003 2009 I = Millions of adult Americans 119 181 211 (a) Find I(2009). I(2009) = million adult Americans Explain what I(2009) means. This means that 211 million adult Americans had Internet access in 2009. This means that 511 million adult Americans had Internet access in 2009. ○ This means that 511 American households had Internet access in 2003. This means that 211 adult Americans had Internet access in 2003. (b) Find the average rate of change per year during the period from 2000 to 2003. (Round your answer to one decimal place.) million per year (c) Estimate the value of I(2001). (Round your answer to one decimal place.) I(2001) = million Explain how you got your answer. I(2001) * +1x million
Let f and g be define f(x) = x-5 and g(x)=x²-1. Express the following functions as the sum, difference, quotient, or product or f and g. (a) P(x)=x²-x-4 (b) Q(x)=x² + 2x -9 (c) R(x) = (d) S(x)= = (e) T(x)= x-5 2x²-2 x²-x+4 x-5 x3-4x²-11x+30 v2_1 Given the following, find f(x). (a) (f + g)(x) = 2x² = 5x + 6, g(x) = x² + 8x - 7 (b) (f.g)(x) = x4 + 16x² + 256, g(x) = x² + 4x + 16 (c) (fog)(x) = (3x - 2)¹, g(x) = 3x - 2 (d) (gof)(x) = 18x - 25. g(x) = 6x - 7
Let f(x) Then (f o g)(x) — — 2* — 5x – 4 and g(x) 4x + 2. = x - - (g o f)(x)
That f(x) = -2x, g(x)= |x + 4|, and h(x)2/x-3. Evalute the functions for the given values of x: a)(g º f)(x) b)(g º f º h)(3) c)f(7)
1 What is the direction of fastest increase at (-3, 4, –4) for the function f(x, y, z) = x2 + y? + z2 (Use symbolic notation and fractions where needed. Give your answer in the form (*, *, *).) direction:
6х + 11 is 8x + 8 The inverse function of f(x) f-\(x) = 11 – 8x 8x – 6 11 8x - 6 – 8x 11 + 8x 6 – 8x 11 – 8x 6 + 8x 11 8x - —6 — 8х
Find the domain of the function f (x) x2-1 R+ R. (-1,1) O R\{-1,1}
The inverse of the function f(1) is f (z) = (5x – 9) (1+1) (5x - 9) (5 – 2) (1 – z) (5z +9) - (6+ 1g) (1 – z) (5z + 9) (1+ z)