notation and show all of your 1. Graph the function where: (a) Continuous and differentiable for all real numbers (b) f'(x) >0 on (-∞, -3) U (1.4) (c) f'(r) <0 on (-3,1) U (4,0) (d) f"(z) <0 on (-∞, -1) U (2,00) (e) f"(z) >0 on (-1,2) (f) f'(-3) = f'(4) = 0 (g) f"(x) = 0 at (-1,3) and (2,4)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
Question
good notation and show all of your work
1. Graph the function where:
(a) Continuous and differentiable for all
real numbers
(b) f'(x) >0 on (-00,-3) U (1,4)
(c) f'(x) <0 on (-3,1) U (4,0)
(d) f"(x) <0 on (-∞, -1) U (2,00)
(e) f(x) > 0 on (-1,2)
(f) f'(-3) = f'(4) = 0
(g) f"(x)=0 at (-1,3) and (2,4)
Graph the function where:
(a) Continuous for all real numbers
(b) Differentiable everywhere except at
x=4
(c) f(1) = 5
(d) f'(1) = 0 and f'(3) = 0
(e) f'(x) > 0 on (-∞, 1) U (4,0)
(f) f'(x) <0 on (1,3) U (3,4)
(g) lim f(x) = -0
2-4
(h) f(x) > 0 on (2,3)
(i) f"(x) <0 on (-∞, 2)U(3, 4)U(4,00)
Transcribed Image Text:good notation and show all of your work 1. Graph the function where: (a) Continuous and differentiable for all real numbers (b) f'(x) >0 on (-00,-3) U (1,4) (c) f'(x) <0 on (-3,1) U (4,0) (d) f"(x) <0 on (-∞, -1) U (2,00) (e) f(x) > 0 on (-1,2) (f) f'(-3) = f'(4) = 0 (g) f"(x)=0 at (-1,3) and (2,4) Graph the function where: (a) Continuous for all real numbers (b) Differentiable everywhere except at x=4 (c) f(1) = 5 (d) f'(1) = 0 and f'(3) = 0 (e) f'(x) > 0 on (-∞, 1) U (4,0) (f) f'(x) <0 on (1,3) U (3,4) (g) lim f(x) = -0 2-4 (h) f(x) > 0 on (2,3) (i) f"(x) <0 on (-∞, 2)U(3, 4)U(4,00)
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