Multiple option type
Let f:\left[-1,1 \right] onto \left[3,5 \right] be a linear polynomial.Then which of the following is true?
(A)f(-\frac{1}{2})=\frac{7}{2} \: (B)f(-\frac{15}{4})=\frac{1}{4}\: (C)f(0)\neq 4 \: (D)f(\frac{1}{2})+f(\frac{-1}{2})=8
1That's d problem my friend... I got the same but it was given that the ans is A,B,D.
106Let it be of the form ax+b
there are two cases:
(I) when -1 --> 3 and 1 ---> 5
-a+b = 3 and a+b = 5 giving b=4, a=1
so, f(x) = x+4
(II) when -1 --> 5 and 1 --> 3
-a+b = 5 and a+b = 3
giving b=4 and a = -1
so, f(x) = -x+4
considering f(x) = x+4 gives AD (B is out of domain)
106oops.. din notice it was out of domain...
yes then answer should be AD only
