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Consider the function graphed at right. The function has a:Of:At x=The function is increasing on the intervals :The function is decreasing on the intervals :

Consider the function graphed at right. The function has a:Of:At x=The function is-example-1

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In this problem

we have a quadratic equation (vertical parabola) open downward

so

the function has a maximum of vertex at (1,1)

the function is increasing on the interval ------> (-infinite, 1)

the function is decreasing on the interval -----> (1, infinite)

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