I am working to prove that this function is continuous at [itex] x = 2 [/itex](adsbygoogle = window.adsbygoogle || []).push({});

[tex] f(x) = 9x–7 [/tex]

To do this I know that I have to show that [itex] \vert f(x)–f(a) \vert < \epsilon[/itex] and that [itex] \vert x-a < \delta \vert [/itex]

I tried to come up with a relationship between [itex] \vert x-2 \vert [/itex] and [itex] \epsilon [/itex] so I could get an appropriate number to choose for [itex] \delta [/itex]

This is as far as I got

[tex] \vert f(x)–f(a) \vert < \epsilon [/tex]

[tex] \vert 9x–7 \vert < \epsilon [/tex]

I’m stuck. All of the examples the text shows give equations where it is easy to factor out the [itex] \vert x-a \vert [/itex] term.

A push in the right direction would be appreciated.

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# Homework Help: Proving a function is continuous

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