Intervals on Which f is Increasing or Decreasing Consider the following. y = 3x3 + 33x2 + 57x Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. See Examples 4, 5, and 7. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Intervals on Which \( f \) is Increasing or Decreasing**

Consider the following function:

\[ y = 3x^3 + 33x^2 + 57x \]

1. **Find the critical numbers.**  
   (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

   \[ x = \_\_\_\_ \]

2. **Find the open intervals on which the function is increasing or decreasing.**  
   Use a graphing utility to verify your results. See Examples 4, 5, and 7. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

   - Increasing: \[\_\_\_\_\]
   - Decreasing: \[\_\_\_\_\]

No diagrams or graphs are provided in the text.
Transcribed Image Text:**Intervals on Which \( f \) is Increasing or Decreasing** Consider the following function: \[ y = 3x^3 + 33x^2 + 57x \] 1. **Find the critical numbers.** (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) \[ x = \_\_\_\_ \] 2. **Find the open intervals on which the function is increasing or decreasing.** Use a graphing utility to verify your results. See Examples 4, 5, and 7. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) - Increasing: \[\_\_\_\_\] - Decreasing: \[\_\_\_\_\] No diagrams or graphs are provided in the text.
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