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).

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
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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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