How do you find the range of fractional functions e.g f(x) = 5x/x^1+1 ?
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Range of fractional functions watch
- Thread Starter
- 13-01-2015 04:51
- Community Assistant
- 13-01-2015 09:11
- 13-01-2015 12:52
this example is where the denominator is defined for all x - so you know there`s no problem with vertical asymptotes.
For this particular example, y is at it`s maximum and minimum when x is at its lowest possible minimum :
For most other rational functions, you`d have to examine the behaviour of y as x approached +/- infinity and the vertical asymptotes.
- 16-01-2015 03:57
Put the function as y=f(x), take the denominator on the left hand side to basically form a quadratic in terms of x. Put the condition that all roots of the quadratic must be real to obtain a range for y(always works )