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Consider the function below. f(x) = 23 + 12æ² + 45x + 52 Follow the following steps in order to sketch the graph y = f(x). Part 1: On what intervals is the function increasing? On what intervals is the function decreasing? List the real numbers for which f has a relative maximum. List the real numbers for which f has a relative minimum. Part 2: On what intervals is f concave-up? On what intervals is f concave-down? List the real numbers for which f has a point-of-inflection. Part 3: Consider the graphs below. A D Choose which graph best matches the the shape of y = f(x) on the indicated interval. (-0, –5) OA OB OC OD (-5, –4): OA OB OC OD (-4, –3): OA OB OC OD (-3, о0): OA OB OC OD Please sketch a graph of y = f(x). Label relative extremes and points-of-inflection. Submit the sketch to the instructor.

Consider the function below. f(x) = 23 + 12æ² + 45x + 52 Follow the following steps in order to sketch the graph y = f(x). Part 1: On what intervals is the function increasing? On what intervals is the function decreasing? List the real numbers for which f has a relative maximum. List the real numbers for which f has a relative minimum. Part 2: On what intervals is f concave-up? On what intervals is f concave-down? List the real numbers for which f has a point-of-inflection. Part 3: Consider the graphs below. A D Choose which graph best matches the the shape of y = f(x) on the indicated interval. (-0, –5) OA OB OC OD (-5, –4): OA OB OC OD (-4, –3): OA OB OC OD (-3, о0): OA OB OC OD Please sketch a graph of y = f(x). Label relative extremes and points-of-inflection. Submit the sketch to the instructor.

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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Consider the function below. f(x) = x3 + 12x2 + 45x + 52 Follow the following steps in order to sketch the graph y = f(x). Part 1: On what intervals is the function increasing? On what intervals is the function decreasing? List the real numbers for which f has a relative maximum. List the real numbers for which f has a relative minimum. Part 2: On what intervals is f concave-up? On what intervals is f concave-down? List the real numbers for which f has a point-of-inflection. Part 3: Consider the graphs below. A D Choose which graph best matches the the shape of y = f(x) on the indicated interval. (-00, -5) OA OB OC OD (-5, –4): OA ов OC OD (-4, –3): OA OB OD (-3, 0): OA OB OD Please sketch a graph of y = f(x). Label relative extremes and points-of-inflection. Submit the sketch to the instructor.
Transcribed Image Text:Consider the function below. f(x) = x3 + 12x2 + 45x + 52 Follow the following steps in order to sketch the graph y = f(x). Part 1: On what intervals is the function increasing? On what intervals is the function decreasing? List the real numbers for which f has a relative maximum. List the real numbers for which f has a relative minimum. Part 2: On what intervals is f concave-up? On what intervals is f concave-down? List the real numbers for which f has a point-of-inflection. Part 3: Consider the graphs below. A D Choose which graph best matches the the shape of y = f(x) on the indicated interval. (-00, -5) OA OB OC OD (-5, –4): OA ов OC OD (-4, –3): OA OB OD (-3, 0): OA OB OD Please sketch a graph of y = f(x). Label relative extremes and points-of-inflection. Submit the sketch to the instructor.
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