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The functionf is defined as f(x) = (x – 5)(x + 6)². Answer the following - questions without using a graphing calculator. a. Use algebraic methods to determine the roots of f. x = Preview b. On what interval(s) of x is f(x) POSITIVE (do not include when f(x) is zero)? (Hint: enter "U" for U to combine more than one interval.) Preview c. On what interval(s) of x is f(x) NEGATIVE (do not include when f(x) is zero)? (Hint: enter "U" for U to combine more than one interval.)

The functionf is defined as f(x) = (x – 5)(x + 6)². Answer the following - questions without using a graphing calculator. a. Use algebraic methods to determine the roots of f. x = Preview b. On what interval(s) of x is f(x) POSITIVE (do not include when f(x) is zero)? (Hint: enter "U" for U to combine more than one interval.) Preview c. On what interval(s) of x is f(x) NEGATIVE (do not include when f(x) is zero)? (Hint: enter "U" for U to combine more than one interval.)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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The function f is defined as 5) (x + 6). Answer the following f(x) = (x – questions without using a graphing calculator. - a. Use algebraic methods to determine the roots of f. X = Preview b. On what interval(s) of x is f(x) POSITIVE (do not include when f(x) is zero)? (Hint: enter "U" for U to combine more than one interval.) Preview c. On what interval(s) of x is f(x) NEGATIVE (do not include when f(x) is zero)? (Hint: enter "U" for U to combine more than one interval.) Preview
Transcribed Image Text:The function f is defined as 5) (x + 6). Answer the following f(x) = (x – questions without using a graphing calculator. - a. Use algebraic methods to determine the roots of f. X = Preview b. On what interval(s) of x is f(x) POSITIVE (do not include when f(x) is zero)? (Hint: enter "U" for U to combine more than one interval.) Preview c. On what interval(s) of x is f(x) NEGATIVE (do not include when f(x) is zero)? (Hint: enter "U" for U to combine more than one interval.) Preview
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