7. Let f(x) = -3x + 9x - 3. a. Determine the x values where f"(x) = 0. b. Fill in the table below to find the open intervals on which the function is increasing or decreasing. Select a test value for each interval and evaluate f'(x) for each test value. Finally, decide whether the function is increasing or decreasing on each interval. Intervals Test value f'(x) Conclusion c Find all the relative extrema of the function.

7. Let f(x) = -3x + 9x - 3. a. Determine the x values where f"(x) = 0. b. Fill in the table below to find the open intervals on which the function is increasing or decreasing. Select a test value for each interval and evaluate f'(x) for each test value. Finally, decide whether the function is increasing or decreasing on each interval. Intervals Test value f'(x) Conclusion c Find all the relative extrema of the function.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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