A linear function which maps ${- 1, 1}$ to ${0, 2}$ is

y = x - 1

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y = - x + 1

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y = x + 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

y = - x - 1

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Solution

The correct options are
B $y = - x + 1$
C $y = x + 1$
If $y = a x + b$ be a linear function which maps $[- 1, 1]$ onto $[0, 2]$
then we have (i) $y = 2$ when $x = - 1$ and $y = 2$ when $x = 1$ .
That is , $0 = - a + b$ and $2 = a + b$ , giving $a = 1, b = 1$
or (ii) $y = 2$ when $x = - 1$ and $y = 0$
when $x = 1$
i.e $2 = - a + b, 0 = a + b,$ which gives $a = - 1$ and $b = 1$
Hence function is either , $y = x + 1$
or $y = - x + 1$

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