iitjee

f(x) = (x - 5)(x - 1)/(x - 3)(x - 2)

Now note that the graph of the denominator is steeper than the graph of the numerator.

So, now put the intervals given in the question. You'll get the results. [1]

how 2 mak the graph????

Use the wavy-curve method, its pretty easy..

Mark the points where f(x) becomes zero.

for example,

f(x) = (x - 5)(x - 1) = x² - 6x + 5

Check the sign of the coefficient of x², if it is negative, then the graph approaches negative infinity as x reaches infinity and vice versa.

Keep in mind the value of f(x) in different intervals and plot the graph accordingly.

bataya to hai yaar!!!

ab baar baar mat bulwao!!

:P

by putting values, if suppose f(x)=-3.

Then how can u verify if it satisfies both f(x) less than 0 and-1.

So plz giv me a subjective ans