Where is the graph shown not differentiable and why? 10+ -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 45 6 7 8 9 10 -5+ -10 O f(x) is not differentiable at x = 1 because f(x) has a vertical tangent at x = 1. O f(x) is not differentiable at x = 1 because f(x) has a cusp at x = 1. O f(x) is not differentiable at x = 1 because f(x) has a corner at x = 1. O f(x) is not differentiable at x = 1 because f(x) is discontinuous at x = 1.

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
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Where is the graph shown not differentiable and why?
10+
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2
3
45 6 7 8 9 10
-5+
-10
O f(x) is not differentiable at x = 1 because f(x) has a vertical tangent at x = 1.
O f(x) is not differentiable at x = 1 because f(x) has a cusp at x = 1.
O f(x) is not differentiable at x = 1 because f(x) has a corner at x = 1.
O f(x) is not differentiable at x = 1 because f(x) is discontinuous at x = 1.
Transcribed Image Text:Where is the graph shown not differentiable and why? 10+ -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 45 6 7 8 9 10 -5+ -10 O f(x) is not differentiable at x = 1 because f(x) has a vertical tangent at x = 1. O f(x) is not differentiable at x = 1 because f(x) has a cusp at x = 1. O f(x) is not differentiable at x = 1 because f(x) has a corner at x = 1. O f(x) is not differentiable at x = 1 because f(x) is discontinuous at x = 1.
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