Help please. Find all roots to the nearest 0.001 both graphically and algebraically
Stacey Warren - Expert brainly.com
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What's your plan? I'm guessing that neither x = 11 nor x = 1 is a root, so the hunt for irrational roots commences.
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if you fsctor out an x, you get: x[(x-2)(x-1)x-7]-11
I wonder what scale graph you need to use to be able to read a point to the nearest 0.001.
It quartic, with positive 1st coefficient. Thus, it wanders off without bound in a positive direction as x increases in either direction. Thus, anything found to be negative wouls be interesting. Clearly f(0) = -11
A quick catalogue:
f(0) = -11
f(1) = -18 -- Well, that was the wrong way.
f(2) = -25
f(3) = -14 -- It's turning around.
f(4) = 57 - and x = 4 is also an upper bound, so we can quit looking.
There's one between x = 3 and x = 4
f(-1) = 2 and x = -1 is a lower bound, so we can quit looking.
There's one between x = 0 and x = -1
How do you propose we find these guys?