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Show that the function f(x)=2x+3 is stri...

Show that the function `f(x)=2x+3` is strictly increasing function on `Rdot`

Text Solution

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Consider twol input `x_(1) and x_(2)inR `
Such that ` x_(1) lt x_(2)`
`implies 2x_(1) lt 2x_(2)`
`implies 2x_(1)+3 lt 2x_(2) +3 `
`implies f(x_(1)) lt f(x_(2))`
Thus f(x) is strictly increasing on R.
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