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If the mapping f(x)=ax+b,a lt0 and maps ...

If the mapping `f(x)=ax+b,a lt0` and maps [-1, 1] onto [0, 2] , then for all values of `theta, A=cos^(2) theta + sin^(4) theta` is such that

A

`f(1/4) lt=A lt=f(0)`

B

`f(0) lt=A lt=f(-2)`

C

`f(1/3) lt=A lt=f(0)`

D

`f(-1) lt=A lt=f(-2).`

Text Solution

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The correct Answer is:
A
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