11. Evaluate the following for the piecewise function f F(x) = {-x² - x + 7₁ 3, x < 6 x ≥8 a. f(4) b. f(9) c. f(3b) when b is less than 0. d. f(4 + b) when b is greater than 5. e. f(4+ b) when b is less than 2. f. State the domain of the function in interval notation. g. Sketch a graph of f(x)
11. Evaluate the following for the piecewise function f F(x) = {-x² - x + 7₁ 3, x < 6 x ≥8 a. f(4) b. f(9) c. f(3b) when b is less than 0. d. f(4 + b) when b is greater than 5. e. f(4+ b) when b is less than 2. f. State the domain of the function in interval notation. g. Sketch a graph of f(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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![**Evaluate the following for the piecewise function \( f(x) \):**
\[
f(x) =
\begin{cases}
-x^2 - x + 7, & x < 6 \\
3, & x \geq 8
\end{cases}
\]
a. \( f(4) \)
b. \( f(9) \)
c. \( f(3b) \) when \( b \) is less than 0.
d. \( f(4 + b) \) when \( b \) is greater than 5.
e. \( f(4 + b) \) when \( b \) is less than 2.
f. State the domain of the function in interval notation.
g. Sketch a graph of \( f(x) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7572a51f-174c-4394-a544-3ecf80015716%2F419cf16a-61fe-49f3-87d9-7aa2b4f7fe53%2Fg2nm5nr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Evaluate the following for the piecewise function \( f(x) \):**
\[
f(x) =
\begin{cases}
-x^2 - x + 7, & x < 6 \\
3, & x \geq 8
\end{cases}
\]
a. \( f(4) \)
b. \( f(9) \)
c. \( f(3b) \) when \( b \) is less than 0.
d. \( f(4 + b) \) when \( b \) is greater than 5.
e. \( f(4 + b) \) when \( b \) is less than 2.
f. State the domain of the function in interval notation.
g. Sketch a graph of \( f(x) \).
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