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(d) Sketch the general shape of the graph f and plot specific points like local maximum and minimum points, points of inflection and intercepts if any.

(d) Sketch the general shape of the graph f and plot specific points like local maximum and minimum points, points of inflection and intercepts if any.

Calculus: Early Transcendentals
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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Please answer part D, thank you!

5. Consider the function r – 4.x + 10 [2] (a) Identify where the extrema of f occur f'lx)= Yx°-12x=0 Y Cx-3) =0 Local Minimai=3 Local Maxima: None X=3 Critical Point:co,l0)C3,-17) f"(x) =2x²-24x f"C6) =0 f'(3)= 12(3)P-24C3) = 108-72 %3D =36>0 [2] (b) Find the intervals on which f is increasing and the intervals on which f is decreasing C-00,0), CO,3),(3,0) f'(-1)=4(-13-12613² = -4-12 = -16LO f'ci)=4(1)3 1acij? =4-12 = -820 =256- 192 = 6470 Increasing:(3,00) Decreasing:(-o,0)UCO,3) [2] (c) Find where the graph is concave up and where is concave down C-0o,0), CO,2),C2,00) f"C-1) = 126-13- 24(-1) = 12 +24 =36>0 Concave Concove down Co,2) up C-Go,O)U(2,00) f"(1) =12C1)ª-24C1) = 12-24 ニ2c0 f"(3)=1263)°-24 (3) = 108 -72 = 3670 %3D [2] (d) Sketch the general shape of the graph f and plot specific points like local maximum and minimum points, points of inflection and intercepts if any.
Transcribed Image Text:5. Consider the function r – 4.x + 10 [2] (a) Identify where the extrema of f occur f'lx)= Yx°-12x=0 Y Cx-3) =0 Local Minimai=3 Local Maxima: None X=3 Critical Point:co,l0)C3,-17) f"(x) =2x²-24x f"C6) =0 f'(3)= 12(3)P-24C3) = 108-72 %3D =36>0 [2] (b) Find the intervals on which f is increasing and the intervals on which f is decreasing C-00,0), CO,3),(3,0) f'(-1)=4(-13-12613² = -4-12 = -16LO f'ci)=4(1)3 1acij? =4-12 = -820 =256- 192 = 6470 Increasing:(3,00) Decreasing:(-o,0)UCO,3) [2] (c) Find where the graph is concave up and where is concave down C-0o,0), CO,2),C2,00) f"C-1) = 126-13- 24(-1) = 12 +24 =36>0 Concave Concove down Co,2) up C-Go,O)U(2,00) f"(1) =12C1)ª-24C1) = 12-24 ニ2c0 f"(3)=1263)°-24 (3) = 108 -72 = 3670 %3D [2] (d) Sketch the general shape of the graph f and plot specific points like local maximum and minimum points, points of inflection and intercepts if any.
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