The piecewise defined function P(x) is given by: -2 if x < -4 P(x) = x2 – 8 if - 4 2 (a) (4 points) Find the following: (i). P(-5) = (ii). P(-2) = (iii). P(2) = ( iv ) . Ρ(7 )- (b) (7 points) Plot and label your points from part (a) and then sketch the graph of y = P(x). 10 5- -10 -5 5 10 -5
The piecewise defined function P(x) is given by: -2 if x < -4 P(x) = x2 – 8 if - 4 2 (a) (4 points) Find the following: (i). P(-5) = (ii). P(-2) = (iii). P(2) = ( iv ) . Ρ(7 )- (b) (7 points) Plot and label your points from part (a) and then sketch the graph of y = P(x). 10 5- -10 -5 5 10 -5
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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Question
![**The piecewise defined function \( P(x) \) is given by:**
\[
P(x) =
\begin{cases}
-2 & \text{if } x < -4 \\
x^2 - 8 & \text{if } -4 \leq x < 2 \\
x - 5 & \text{if } x \geq 2 \\
\end{cases}
\]
**(a) (4 points) Find the following:**
(i) \( P(-5) = \) ______
(ii) \( P(-2) = \) ______
(iii) \( P(2) = \) ______
(iv) \( P(7) = \) ______
**(b) (7 points) Plot and label your points from part (a) and then sketch the graph of \( y = P(x) \).**
**Graph:**
The graph is a standard Cartesian coordinate system with grid lines:
- The x-axis ranges from -10 to 10.
- The y-axis ranges from -10 to 10.
- Marks are shown for every unit increment on both axes, creating a grid for plotting points and sketching the graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9bbfd27-34a3-49a8-8ad0-6afdd49df1c3%2F804582a3-fa8c-4f4d-b0d7-0e8d95c35464%2Fmxord6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**The piecewise defined function \( P(x) \) is given by:**
\[
P(x) =
\begin{cases}
-2 & \text{if } x < -4 \\
x^2 - 8 & \text{if } -4 \leq x < 2 \\
x - 5 & \text{if } x \geq 2 \\
\end{cases}
\]
**(a) (4 points) Find the following:**
(i) \( P(-5) = \) ______
(ii) \( P(-2) = \) ______
(iii) \( P(2) = \) ______
(iv) \( P(7) = \) ______
**(b) (7 points) Plot and label your points from part (a) and then sketch the graph of \( y = P(x) \).**
**Graph:**
The graph is a standard Cartesian coordinate system with grid lines:
- The x-axis ranges from -10 to 10.
- The y-axis ranges from -10 to 10.
- Marks are shown for every unit increment on both axes, creating a grid for plotting points and sketching the graph.
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