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Find where the function f x 32 8x 144x 9 is increasing and where it...

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Calculus

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Find where the function f x 32 8x 144x 9 is increasing and where it is decreasing 4 2000 4000 6000 8000 4 T 0 6 f x 12x 24x 288x 12x x smallest 0 and largest and arrange To use the I D Test we have to know where f x of the three factors of f x namely 12x x intervals whose endpoints are the critical numbers our work in a chart A plus sign indicates that the given expression is positive and a negative sign indicates that it is negative The last column of the chart gives the conclusion based on the I D Test For instance f x 0 for 0 x 6 so f is Select an answer on 0 6 It would also be true to say that f is decreasing on the closed interval 0 6 Interval HA 4 12x x 6 x 4 f x E x 0 and where f x and a This depends on the signs We divide the real line into f decreasing on 4 Select an answer on 4 0

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