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**tony123****Member**- Registered: 2007-08-03
- Posts: 219

if the two roots of the equation

are elements of the interval find the interval of*Last edited by tony123 (2022-12-01 20:11:49)*

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 9,608

hi tony123

It's worth trialling different k values using the grapher here:

https://www.mathsisfun.com/data/function-grapher.php

You'll find that x = 1/4 is always the vertical line of symmetry, so one limit will be found by finding the equation when the graph goes through (1,0)

And as k becomes more positive the curve shifts up and eventually fails to cross the x axis at all. That should give you the other limit.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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