Consider the function. f (x)=-3x³ + 18x² 27x Step 1. Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that correspond to horizontal tangent lines. Step 2. Determine the open intervals on which the function is increasing and on which the function is decreasing. Enter Ø to indicate the interval is empty.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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1.
Consider the function.
f (x)=-3x³ + 18x²
27x
Step 1. Find all values of x that correspond to horizontal tangent lines. Select "None" if
the function does not have any values of x that correspond to horizontal tangent lines.
Step 2. Determine the open intervals on which the function is increasing and on which
the function is decreasing. Enter Ø to indicate the interval is empty.
Transcribed Image Text:1. Consider the function. f (x)=-3x³ + 18x² 27x Step 1. Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that correspond to horizontal tangent lines. Step 2. Determine the open intervals on which the function is increasing and on which the function is decreasing. Enter Ø to indicate the interval is empty.
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