Sketch the graph of a continuous function y = h(x) such that a. h(0) = 0,–2 < h(x) < 2 for all x, h'(x) →∞ as x →0¯, and h'(x) →∞ as x → 0*; b. h(0) = 0,-2 < h(x) < 0 for all x, h' (x) →∞ as x →0", and h'(x) →-∞ as x→0*.

Sketch the graph of a continuous function y = h(x) such that a. h(0) = 0,–2 < h(x) < 2 for all x, h'(x) →∞ as x →0¯, and h'(x) →∞ as x → 0; b. h(0) = 0,-2 < h(x) < 0 for all x, h' (x) →∞ as x →0", and h'(x) →-∞ as 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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Sketch the graph of a continuous function y = h(x) such that
a. h(0) = 0,–2 < h(x) < 2 for all x, h'(x) →∞ as x →0¯,
and h'(x) →∞ as x → 0*;
b. h(0) = 0,-2 < h(x) < 0 for all x, h' (x) →∞ as x →0",
and h'(x) →-∞ as x→0*.

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