For what value of the constant c is the function f(x) continuous on the interval (-∞, ∞) where 4c - f(x) = {5cz - 6c if x ≤ 4 if x > 4. If the answer in infinity, you can type in INF in the blank. If the answer is negat infinity, you can type -INF. If the answer is does not exist, you can type in DNE. Otherwise, write the number as an integer or reduced fraction.

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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For what value of the constant c is the function f(x) continuous on the interval
(-∞0, ∞) where
f(x) =
[x² - 4c
5cx - 6c
if x < 4
if x > 4.
If the answer in infinity, you can type in INF in the blank. If the answer is negative
infinity, you can type -INF. If the answer is does not exist, you can type in DNE.
Otherwise, write the number as an integer or reduced fraction.
Transcribed Image Text:For what value of the constant c is the function f(x) continuous on the interval (-∞0, ∞) where f(x) = [x² - 4c 5cx - 6c if x < 4 if x > 4. If the answer in infinity, you can type in INF in the blank. If the answer is negative infinity, you can type -INF. If the answer is does not exist, you can type in DNE. Otherwise, write the number as an integer or reduced fraction.
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