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Problem 4. a) Find the vertex, axis of symmetry, and intercepts, if any, of the function f(x) = -x² - 6x - 10. b) Use this information to graph the function. Label key points on the graph. c) State the domain and range of f(x).

Problem 4. a) Find the vertex, axis of symmetry, and intercepts, if any, of the function f(x) = -x² - 6x - 10. b) Use this information to graph the function. Label key points on the graph. c) State the domain and range of f(x).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem #4
Instructions: Simplify answers as much as possible. Expressions such as 3(x+5) and (x + h)² should be expanded. Also, combine like terms, so 7x+3x should be written as 10x. Problem 4. a) Find the vertex, axis of symmetry, and intercepts, if any, of the function f(x) = -x² - 6x - 10. b) Use this information to graph the function. Label key points on the graph. c) State the domain and range of f(x). d) Find the intervals where the function is increasing/decreasing. e) Does f(x) have local maxima/minima? If so, find those local maxima/minima and indicate the values of x where they attained.
Transcribed Image Text:Instructions: Simplify answers as much as possible. Expressions such as 3(x+5) and (x + h)² should be expanded. Also, combine like terms, so 7x+3x should be written as 10x. Problem 4. a) Find the vertex, axis of symmetry, and intercepts, if any, of the function f(x) = -x² - 6x - 10. b) Use this information to graph the function. Label key points on the graph. c) State the domain and range of f(x). d) Find the intervals where the function is increasing/decreasing. e) Does f(x) have local maxima/minima? If so, find those local maxima/minima and indicate the values of x where they attained.
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