(a) Graph the function y = x³ (x-2).

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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) Graph the function y = x³ (x-2).
dy
(b) Differentiate y² = x³ (x-2) and hence, show that for y> 0,
dx
(2x-3)₁
X
x-2
(c) Sketch y² = x³ (x-2), clearly showing the behaviour of the curve near its x-intercepts.
Transcribed Image Text:(a) Graph the function y = x³ (x-2). dy (b) Differentiate y² = x³ (x-2) and hence, show that for y> 0, dx (2x-3)₁ X x-2 (c) Sketch y² = x³ (x-2), clearly showing the behaviour of the curve near its x-intercepts.
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