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...
Related questions
Question
Find all of the real zeros of the function, finding exact values whenever possible. Identify each zeros as rational or irrational.

Transcribed Image Text:### Polynomial Functions
The following are polynomial functions that can be used in various mathematical analyses:
a) \( f(x) = 2x^3 - 3x^2 - 4x + 6 \)
This function represents a cubic polynomial, characterized by a leading term with the variable \( x \) raised to the third power.
b) \( f(x) = x^3 + x^2 - 8x - 6 \)
Another cubic polynomial, with the leading term \( x^3 \), alongside linear and constant components.
c) \( f(x) = 2x^4 - 7x^3 - 2x^2 - 7x - 4 \)
This is a quartic polynomial, as indicated by the highest power of \( x \), which is four.
These equations can be used to explore polynomial behavior, such as calculating roots, evaluating end behavior, and determining critical points through derivation.
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