consider the function `f:R rarr R,f(x)=(x^(2)-6x+4)/(x^(2)+2x+4)`
which of the following is not true about f(x)?

Options

A. f(x) has two points of extremum
B. f(x) has only one asymptote
C. f(x) is differentiable for all x in R
D. none of these

Answer

4

Explanation

`f(X)=(x^(2)-6x+4)/(x^(2)+2x+4)=1-(8x)/(x^(2)+2x+4)`
`f(x)-8((x^(2)+2x+4)-x(2x+2))/((x^(2)+2x+4)^(2)`
`f(X)=0 rarrx2 or -2`
`f(2)=(4-12+4)/(4+4+4)=-4/12=-1/3`
`f(2)=(4+12+4)/(4-4+4)=5`
The graph of y =f(X) is as shown