# Suppose f (x) = x 3 7x 2 5x + 35. From calculus, the derivative

## Question:

Suppose f (x) = x^{3} − 7x^{2} − 5x + 35. From calculus, the derivative of f is given by f (x) = 3x^{2} − 14x − 5. The function f is increasing where f (x) > 0 and decreasing where f (x) < 0. The numbers at the endpoints must be tested separately to determine if they should be included in the interval describing where a function is increasing and decreasing. Because polynomials are continuous over its domain, all endpoints are included in the interval describing increasing/decreasing. Determine where f is increasing and where f is decreasing.

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**Related Book For**

## Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

**ISBN:** 9780137945139

5th Edition

**Authors:** Michael Sullivan