Q1. Choose the correct option: a) Let f(x) = |x]. Then at x = 0, the function f(x) is: %3D (A) Continuous and differentiable (B) Continuous but not differentiable (C) Differentiable but not continuous (D) Not continuous and not differentiable b) Let f(x) be a function such that f"(x) is constant function. Then f(x) is: (A) Root function (B) Rational function (C) Constant function (D) Polynomial function

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Q1. Choose the correct option:
a) Let f(x) = |x|. Then at x = 0, the function f(x) is:
%3D
(A) Continuous and differentiable
(B) Continuous but not differentiable
(C) Differentiable but not continuous (D) Not continuous and not differentiable
b) Let f(x) be a function such that f("(x) is constant function. Then f(x) is:
(A) Root function
(B) Rational function
(C) Constant function
(D) Polynomial function
Transcribed Image Text:Q1. Choose the correct option: a) Let f(x) = |x|. Then at x = 0, the function f(x) is: %3D (A) Continuous and differentiable (B) Continuous but not differentiable (C) Differentiable but not continuous (D) Not continuous and not differentiable b) Let f(x) be a function such that f("(x) is constant function. Then f(x) is: (A) Root function (B) Rational function (C) Constant function (D) Polynomial function
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