Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 2.2, Problem 64E

To determine

To identify: The x- intercepts of the function and describe where the graph is increasing and decreasing. Verify using a graphical calculator.

Expert Solution & Answer

Answer to Problem 64E

The x-intercepts are −5 and −1 .

The function decreases on the right hand side of the axis of symmetry x=−3 and increases for the left hand side of the values of the axis of symmetry x=−3 .

Explanation of Solution

Given Information:The function f(x)=−5(x+5)(x+1) is given.

Calculation:

The function f(x)=−5(x+5)(x+1) in the form f(x)=a(x−p)(x−q) is,

f(x)=−5(x+5)(x+1)=−5(x−(−5))(x−(−1))

On comparing, the x- intercepts and the value of a is,

p=−5q=−1 a=−5

Using x- intercepts, the axis of symmetry is,

S=p+q2=−5−12=−62=−3

Here, S is the axis of symmetry.

Therefore, the axis of symmetry is x=−3 .

Now, since the value of a=−5<0 , the parabola is inverted.

The function increases in the interval (−∞,−3) and decreases in the interval (−3,∞) .

The graph of the function is,

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 2.2, Problem 64E

Clearly, the function decreases on the right hand side of the axis of symmetry x=−3 and increases for the left hand side of the values of the axis of symmetry x=−3 .

Chapter 2.2, Problem 63E

Chapter 2.2, Problem 65E

Chapter 2 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - 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