graph The function $ f(x) $ is defined as a piecewise function with the following conditions:- $ f(x) = -3x - 4 $ for $ x \leq -1 $- $ f(x) = x^2 - 2 $ for $ -1 < x < 1 $- $ f(x) = 2x - 3 $ for $ x \geq 1 $This piecewise function has three different expressions based on the value of $ x $. Each segment of the function applies to a specific interval on the x-axis.

Answered: - 3x - 4 f(x) = { x² - 2 2x − 3 - if x…

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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Question

graph

The function $ f(x) $ is defined as a piecewise function with the following conditions:

- $ f(x) = -3x - 4 $ for $ x \leq -1 $
- $ f(x) = x^2 - 2 $ for $ -1 < x < 1 $
- $ f(x) = 2x - 3 $ for $ x \geq 1 $

This piecewise function has three different expressions based on the value of $ x $. Each segment of the function applies to a specific interval on the x-axis.

Expert Solution

Step 1: Define the problem.

To graph the following function.

$straight f open parentheses straight x close parentheses equals open curly brackets table row cell negative 3 straight x minus 4 space if space straight x less or equal than negative 1 end cell row cell straight x squared minus 2 space if space minus 1 less than straight x less than 1 end cell row cell 2 straight x minus 3 space if space straight x greater or equal than 1 end cell end table close$