b) f(x) = -4x³ – 6x² + 24x + 1 Use the first derivative test to determine the intervals where the function increases/decreases Determine the local min/max points of f (x) Use the second derivate test to determine the intervals of concavity • Sketch a possible graph of f(x)

b) f(x) = -4x³ – 6x² + 24x + 1 Use the first derivative test to determine the intervals where the function increases/decreases Determine the local min/max points of f (x) Use the second derivate test to determine the intervals of concavity • Sketch a possible graph of f(x)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

Please answer only question Graph of F(x)

b) f(x) = -4x3 – 6x² + 24x + 1
Use the first derivative test to determine the intervals where the function
increases/decreases
Determine the local min/max points of f(x)
Use the second derivate test to determine the intervals of concavity
Sketch a possible graph of f(x)

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