EAMCET Engineering 2004 Solved Paper

Since, f:R→R such that f(x)=3−x.
Let y1 and y2 be two elements of f(x) such that ‌y1=y2
‌⇒‌‌3−x1=3−x2⇒x1=x2
Since, if two images are equal, then their elements are equal, therefore it is one-one function
Let ‌‌y=3−x
On differentiating w.r.t. x, we get
‌

dy

dx

=−3−x‌log‌3<0 for every value of x
∴ It is decreasing function
∴ Statement I and II are true.