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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![### Evaluating a Piecewise Function
In this exercise, we are given a piecewise function and need to evaluate it for specific values of \( x \). The function \( h(x) \) is defined as follows:
\[
h(x) =
\begin{cases}
-5|x| + 7 & \text{for } x \leq -2 \\
3x + 2 & \text{for } -2 < x < 3 \\
4 & \text{for } x \geq 3
\end{cases}
\]
We will evaluate this function for the given values of \( x \) broken down into parts.
#### Part 1 of 5
Evaluate \( h(-3) \):
\[ h(-3) = \boxed{\ } \]
#### Part 2 of 5
Evaluate \( h(3) \):
\[ h(3) = \boxed{\ } \]
#### Part 3 of 5
Evaluate \( h(-2) \):
\[ h(-2) = \boxed{\ } \]
Additional parts (4 of 5 and 5 of 5) would continue with other values of \( x \) for evaluation if they were present in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64e8698f-bf7c-4e1b-8c7e-b7a3a74b0e52%2Fde95d318-7227-474a-8016-d68bf8ac90cc%2F8h7vh3c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Evaluating a Piecewise Function
In this exercise, we are given a piecewise function and need to evaluate it for specific values of \( x \). The function \( h(x) \) is defined as follows:
\[
h(x) =
\begin{cases}
-5|x| + 7 & \text{for } x \leq -2 \\
3x + 2 & \text{for } -2 < x < 3 \\
4 & \text{for } x \geq 3
\end{cases}
\]
We will evaluate this function for the given values of \( x \) broken down into parts.
#### Part 1 of 5
Evaluate \( h(-3) \):
\[ h(-3) = \boxed{\ } \]
#### Part 2 of 5
Evaluate \( h(3) \):
\[ h(3) = \boxed{\ } \]
#### Part 3 of 5
Evaluate \( h(-2) \):
\[ h(-2) = \boxed{\ } \]
Additional parts (4 of 5 and 5 of 5) would continue with other values of \( x \) for evaluation if they were present in the image.
![### Function Evaluation Practice
In this exercise, you are tasked with evaluating the function \( h \) at given inputs and recording your answers. Your progress will be tracked through parts, each requiring a different evaluation. Make sure to input the correct values for each part.
#### Part 2 of 5
Evaluate the function \( h \) at \( x = 3 \).
\[ h(3) = \ \boxed{\quad \quad} \quad \text{<Enter Value>} \]
#### Part 3 of 5
Evaluate the function \( h \) at \( x = -2 \).
\[ h(-2) = \ \boxed{\quad \quad} \quad \text{<Enter Value>} \]
#### Part 4 of 5
Evaluate the function \( h \) at \( x = 0 \).
\[ h(0) = \ \boxed{\quad \quad} \quad \text{<Enter Value>} \]
#### Part 5 of 5
Evaluate the function \( h \) at \( x = 4 \).
\[ h(4) = \ \boxed{\quad \quad} \quad \text{<Enter Value>} \]
### Instructions:
1. For each part, carefully enter the value corresponding to the function evaluation at the given point.
2. Use the 'X' button to clear any previous input if needed.
3. Use the 'Reset' button to reset your answer for the current part.
4. Check your answers thoroughly before submission.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64e8698f-bf7c-4e1b-8c7e-b7a3a74b0e52%2Fde95d318-7227-474a-8016-d68bf8ac90cc%2Fkwytsl6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Function Evaluation Practice
In this exercise, you are tasked with evaluating the function \( h \) at given inputs and recording your answers. Your progress will be tracked through parts, each requiring a different evaluation. Make sure to input the correct values for each part.
#### Part 2 of 5
Evaluate the function \( h \) at \( x = 3 \).
\[ h(3) = \ \boxed{\quad \quad} \quad \text{<Enter Value>} \]
#### Part 3 of 5
Evaluate the function \( h \) at \( x = -2 \).
\[ h(-2) = \ \boxed{\quad \quad} \quad \text{<Enter Value>} \]
#### Part 4 of 5
Evaluate the function \( h \) at \( x = 0 \).
\[ h(0) = \ \boxed{\quad \quad} \quad \text{<Enter Value>} \]
#### Part 5 of 5
Evaluate the function \( h \) at \( x = 4 \).
\[ h(4) = \ \boxed{\quad \quad} \quad \text{<Enter Value>} \]
### Instructions:
1. For each part, carefully enter the value corresponding to the function evaluation at the given point.
2. Use the 'X' button to clear any previous input if needed.
3. Use the 'Reset' button to reset your answer for the current part.
4. Check your answers thoroughly before submission.
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