At what points is the function y = x + 4 2 x -5x+4 continuous?

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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Question
At what points is the function y =
x + 4
-5x+4
x²_
continuous?
Describe the set of x-values where the function is continuous, using interval notation.
(Simplify your answer. Type your answer in interval notation.)
Transcribed Image Text:At what points is the function y = x + 4 -5x+4 x²_ continuous? Describe the set of x-values where the function is continuous, using interval notation. (Simplify your answer. Type your answer in interval notation.)
Expert Solution
Step 1

 Rational function is continuous at all points where its denominator is not equal to 0.

If its denominator is equal to 0 at point  then the rational function is said to be discontinuous at the point x=a.

The given function  y=x+4x2-5x+4, is rational function.  To find the points of continuity we make denominator zero and finds x-value.

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