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Which of the following is ALWAYS TRUE about a function f? □ If f(x) is a rational function with denominator equal to x² + 1, then f'(x) exists for all real numbers a. O f' is defined for all in the domain of f. If the tangent line at (c, f(c)) is vertical, then lim f(c+h)-f(c) h exists. h→0 If f(x) is a polynomial function, then f(x) is continuous at x = 0 and differentiable there.

Which of the following is ALWAYS TRUE about a function f? □ If f(x) is a rational function with denominator equal to x² + 1, then f'(x) exists for all real numbers a. O f' is defined for all in the domain of f. If the tangent line at (c, f(c)) is vertical, then lim f(c+h)-f(c) h exists. h→0 If f(x) is a polynomial function, then f(x) is continuous at x = 0 and differentiable there.

Calculus: Early Transcendentals
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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2.2 Please answer ASAP.
Which of the following is ALWAYS TRUE about a function f? □ If f(x) is a rational function with denominator equal to x² + 1, then f'(x) exists for all real numbers x. O f' is defined for all x in the domain of f. If the tangent line at (c, f(c)) is vertical, then lim f(c+h)-f(c) h exists. h→0 □ If f(x) is a polynomial function, then f(x) is continuous at x = 0 and differentiable there.
Transcribed Image Text:Which of the following is ALWAYS TRUE about a function f? □ If f(x) is a rational function with denominator equal to x² + 1, then f'(x) exists for all real numbers x. O f' is defined for all x in the domain of f. If the tangent line at (c, f(c)) is vertical, then lim f(c+h)-f(c) h exists. h→0 □ If f(x) is a polynomial function, then f(x) is continuous at x = 0 and differentiable there.
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