For each of the following functions

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For each of the following functions ff, sketch y=f(x)y=f(x), y=f(x−2)+3y=f(x-2)+3, and y=f(x+1)−4y=f(x+1)-4 on the same set of axes. (1) f(x)=x2f(x)=x^2 (2) f(x)=x3f(x)=x^3 (3) f(x)=1xf(x)=\frac{1}{x} (4) f(x)=(x−1)2+2f(x)=(x-1)^2+2

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