Find all values of a such that f is continuous on R. (Enter your answers as a comma-separated list.) (x) = {x+5 if xsa if x > a 2.7913, – 1.7913 a =

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...
icon
Related questions
Question
Find all values of \( a \) such that \( f \) is continuous on \( \mathbb{R} \). (Enter your answers as a comma-separated list.)

\[ 
f(x) = 
\begin{cases} 
x + 5 & \text{if } x \leq a \\ 
x^2 & \text{if } x > a 
\end{cases} 
\]

\( a = \boxed{2.7913, -1.7913} \)
Transcribed Image Text:Find all values of \( a \) such that \( f \) is continuous on \( \mathbb{R} \). (Enter your answers as a comma-separated list.) \[ f(x) = \begin{cases} x + 5 & \text{if } x \leq a \\ x^2 & \text{if } x > a \end{cases} \] \( a = \boxed{2.7913, -1.7913} \)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning