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Functions and Graphs, SMB-009

A function has the equation  `f(x)=2x^2+1`.

State the range of `f(x)`.   (2 marks)

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`text{Range}\ f(x): \ y>=1`

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`text{Consider the function transformation:}`

`y=2x^2\ text{translated 1 unit up}\ \ =>\ \ y=2x^2+1`

`(x^2>0\ text{for all}\ x)`

`:.\ text{Range}\ f(x): \ y>=1`

Filed Under: Functions and Other Graphs Tagged With: num-title-ct-patha, smc-4244-20-Range, smc-4244-60-Quadratic

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