Testing for Increasing and Decreasing Functions In Exercises 5-8, show that the function is increasing and decreasing on the given open intervals. See Example 1. 5. y = -x; increasing on (-00, 0); decreasing on (0, o0) 6. y = x* + 1; decreasing on (-0o, 0); increasing on (0, co) 7. y = (x – 2)²; decreasing on (-00, 2); increasing on (2, o0) 8. y = x'; increasing on (–0o, 00)
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- a) find the local minimum value of f and the value of x at which it occurs. (x, y) = ( ) find the local maximum values of f and the values of x at which they occur. (x, y) = ( ) smaller x-value (x, y) = ( ) larger x-value b) find the intervals on which f is increasing. (Enter your answer using interval notation.) find the intervals in which f is decreasing. (Enter your answer using interval notation.)Exercise: Determining the Intervals over which a Function Increases, Decreases, or Constant with Closed IntervalsCalculus -(1/3), 3/9, -5/27, 7/81 n term and limit