A continuous curve y=f(x) has a vertical tangent at x = x, if lim h→0 answer. f(x) = { -4, x<0 0, x=0 4, X>0 f(xo +h)-f(xo) h Does the graph of the following function have a vertical tangent at the origin? OA. No, because the function is not continuous at x = 0. OB. Yes, because the function is continuous and the limit lim h→0 -=∞o or -∞o. Does the graph of the following function have a vertical tangent at the origin? Give reasons for the f(xo+h)-f(xo) h -= ∞o at x = 0.

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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A continuous curve y=f(x) has a vertical tangent at x = x, if lim
h→0
answer.
f(x) = {
-4, x<0
0, x=0
4, X>0
f(xo +h)-f(xo)
h
Does the graph of the following function have a vertical tangent at the origin?
OA. No, because the function is not continuous at x = 0.
OB. Yes, because the function is continuous and the limit lim
h→0
-=∞o or -∞o. Does the graph of the following function have a vertical tangent at the origin? Give reasons for the
f(xo +h)-f(xo)
h
C
-= ∞o at x = 0.
Transcribed Image Text:A continuous curve y=f(x) has a vertical tangent at x = x, if lim h→0 answer. f(x) = { -4, x<0 0, x=0 4, X>0 f(xo +h)-f(xo) h Does the graph of the following function have a vertical tangent at the origin? OA. No, because the function is not continuous at x = 0. OB. Yes, because the function is continuous and the limit lim h→0 -=∞o or -∞o. Does the graph of the following function have a vertical tangent at the origin? Give reasons for the f(xo +h)-f(xo) h C -= ∞o at x = 0.
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