Question

Sketch the graph of

Answer 1

\(y=|x|\) and \(y=|x^{2}-7x+6|\) on the same diagram. Determine the set of values of x such that \(|x|<|x^{2}-7x+6|\) .

Answer 2

@kittybasil

Answer 3

y=|x| can be written as y=x when x>0 and y=-x when x<0. Plot accordingly.

Now to plot the quadratic, first find the 2 roots.

Answer 4

The graph of y=|x| will look like this.

Answer 5

@AravindG

Answer 6

Good. Did you find the roots?

Answer 7

Is it \(x=0\) ?

Answer 8

No. You must find the roots of x^2-7x+6.

Answer 9

yep,i think i know how do...
Thank you @AravindG @Tranquility