Answered: - a. Graph f(x) (o, x = 1. b. Find lim,…

- a. Graph f(x) (o, x = 1. b. Find lim, 1- f(x) and lim, „1+ f(x). c. Does lim, 1 fx) exist? If so, what is it? If not, why not?

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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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

Graph ƒ(x) =

- a. Graph f(x)
(o,
x = 1.
b. Find lim, 1- f(x) and lim, „1+ f(x).
c. Does lim, 1 fx) exist? If so, what is it? If not, why not?

Expert Solution

Step 1

Given:

$f (x) = \{\begin{cases} x^{3}, x \neq 1 \\ 0, x = 1 \end{cases}$

Step 2

a. Graph:

Step by step

Solved in 4 steps with 1 images

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