Math Is Fun Forum

tony123

Member

Registered: 2007-08-03

Posts: 229

interval

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)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,619

Re: interval

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

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