Consider the function .

MATHEMATICS · Multi-part · AoPS · Mathematics · Special Functions · Special Functions

Problem

Consider the function h(x)=3−2xh(x)=\sqrt{3-2x}. (i) Determine the set of all real numbers xx for which h(x)h(x) is defined. (ii) Using your result from part (i), sketch a rough graph of hh on its domain. (iii) From the graph or otherwise, find the range of hh. Express your answer in interval notation.

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