Wednesday, May 30, 2012

College Algebra, Chapter 4, 4.1, Section 4.1, Problem 50

A quadratic function f(x)=1+x2x2.

a.) Find the maximum or minimum value of the quadratic function f, using a graphing device.







Based from the graph, the function has a maximum value of 1.2.

b.) Find the exact maximum or minimum value of f.

Using the quadratic equation ax2+bx+c with a=2 and b=1. Thus, the maximum or minimum value occurs at

x=b2a=12(2)=122

Since a<0, the function has a maximum value

f(122)=1+1222(122)2=8+28=1.18

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