Question 1201980
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ANSWER: 78 (at x=5)<br>
method 1: use a graphing calculator (or some other graphing utility) to see that the function is increasing everywhere on the given interval.<br>
method 2: use algebra to factor the polynomial as (x^2+1)(x-2); then, since x^2+1 is always positive, you know that the function is increasing everywhere to the right of x=2.<br>
method 3: use calculus to find the derivative is 3x^2-4x+1 = (3x-1)(x-1), telling you that the zeros of the derivative are at x=1/3 and x=1, and that therefore the function is increasing everywhere to the right of x=1, which means it is increasing everywhere on the given interval.<br>
And there are undoubtedly other methods....<br>