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f(x) = -4 X - x² + 4 for-3

f(x) = -4 X - x² + 4 for-3

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Graph the precise wise definition function given by the following function make sure any open dots closed dots and arrows are placed appropriately
Below is a piecewise function \( f(x) \), defined over three different intervals: \[ f(x) = \begin{cases} -4 & \text{for } -3 < x < -1 \\ x & \text{for } -1 \leq x < 2 \\ -x^2 + 4 & \text{for } x \geq 2 \end{cases} \] This function is defined as follows: 1. For \( -3 < x < -1 \), the function is a constant value of -4. 2. For \( -1 \leq x < 2 \), the function is linear and equals \( x \). 3. For \( x \geq 2 \), the function is a downward opening parabola described by the equation \( -x^2 + 4 \).
Transcribed Image Text:Below is a piecewise function \( f(x) \), defined over three different intervals: \[ f(x) = \begin{cases} -4 & \text{for } -3 < x < -1 \\ x & \text{for } -1 \leq x < 2 \\ -x^2 + 4 & \text{for } x \geq 2 \end{cases} \] This function is defined as follows: 1. For \( -3 < x < -1 \), the function is a constant value of -4. 2. For \( -1 \leq x < 2 \), the function is linear and equals \( x \). 3. For \( x \geq 2 \), the function is a downward opening parabola described by the equation \( -x^2 + 4 \).
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