f(Xo +h) - f(×o)A continuous curve y = f(x) has a vertical tangent at x= x, if lim= 00 or - 0o. Does the graph of the following function have a vertical tangent at the origin? Give reasons for the answer.- 5, x<0f(x) =0, x= 04, x>0Does the graph of the following function have a vertical tangent at the origin?OA No, because the function is not continuous at x, = 0.(*o +h) -f(%o)O B. Yes, because the function is continuous and the limit lim= 0o at x, = 0h-0

f(Xo + h) - f(xo) A continuous curve y = f(x) has a vertical tangent at x = x, if lim = 00 or - 0o. Does the graph of the following function have a vertical tangent at the origin? Give rea h-0 - 5. x<0 f(x) = . 0, x= 0 4, х>0 Does the graph of the following function have a vertical tangent at the origin? O A. No, because the function is not continuous at x, =0. f(*o + h) -f(*o) O B. Yes, because the function is continuous and the limit lim = 0o at x, = 0. h h-0

f(Xo + h) - f(xo) A continuous curve y = f(x) has a vertical tangent at x = x, if lim = 00 or - 0o. Does the graph of the following function have a vertical tangent at the origin? Give rea h-0 - 5. x<0 f(x) = . 0, x= 0 4, х>0 Does the graph of the following function have a vertical tangent at the origin? O A. No, because the function is not continuous at x, =0. f(o + h) -f(o) O B. Yes, because the function is continuous and the limit lim = 0o at x, = 0. h h-0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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