Question

1. find the roots of the function graphed below.

hint: remember that roots = zeros = x - coordinates of x - intercepts.

1. consider ( f ( x ) = x ( x - 2 ) ). dilate ( f ) by ( ( x - 1 ) ) to create a new function, ( g ) of higher degree. write ( g ) in factored and standard form.

hint: \dilate\ means \multiply\.
fact form :
std. form :

Explanation:

Step1: Find the roots

The roots of a function are the \(x\)-values where \(y = 0\). Looking at the graph, the curve intersects the \(x\)-axis at \(x=-1\) and \(x = 1\).

Answer:

The roots of the function are \(x=-1\) and \(x = 1\).