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...
Related questions
Question
Find a value for a so that the function f(x) is continuous
a=-10
a=2
a=-6
a=-8
![The image shows a piecewise function \( f(x) \) defined as follows:
\[
f(x) =
\begin{cases}
x^2 + x + a, & \text{if } x < -2 \\
x^3, & \text{if } x \geq -2
\end{cases}
\]
This function is divided into two parts:
1. For \( x < -2 \), the function is given by the quadratic expression \( x^2 + x + a \).
2. For \( x \geq -2 \), the function is given by the cubic expression \( x^3 \).
There are no graphs or diagrams accompanying the function in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4ce3023-ad43-45bb-b669-17dba3e4951e%2Feefc5b9b-7286-4f0f-b525-4d01443f828d%2Fhjfudc9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows a piecewise function \( f(x) \) defined as follows:
\[
f(x) =
\begin{cases}
x^2 + x + a, & \text{if } x < -2 \\
x^3, & \text{if } x \geq -2
\end{cases}
\]
This function is divided into two parts:
1. For \( x < -2 \), the function is given by the quadratic expression \( x^2 + x + a \).
2. For \( x \geq -2 \), the function is given by the cubic expression \( x^3 \).
There are no graphs or diagrams accompanying the function in the image.
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