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 Question from Lucy, a student: What is the range of the function: h(x)=1/x (and can you please explain why)?

Hi Lucy,

Sketch the graph.

From the graph it looks like the range of h is all real numbers except zero. Can you prove it?

Suppose that $a$ is a real number and $a \neq 0.$ Can you find a real number $x$ so that $h(x) = a?$

Can you find a real number $x$ so that $h(x) = 0?$ Why not?

Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.