State the x-coordinate of the x-intercept in quadrant ii for the function below.
f(x)=x^3-x^2-x+1

ANSWER

The x-coordinate of the x-intercept of the function is .

EXPLANATION:

The x-intercept refers to the point where the function meets or cuts the x-axis.

At the x-intercept, .

This means we have to equate the whole function to zero and solve for .

According to the rational roots theorem, the possible rational roots of the equation are .

We now plug in these possible rational roots to see which of them are real roots.

Since , is a root.

By the factor theorem, is a factor of the function.

We now divide the polynomial function,   by   to find the remaining roots.

See long division in diagram.

This means that .

Or

Hence the roots are or

In the second quadrant the x-coordinate is negative

Therefore, the x-coordinate of the x-intercept of the function is .

See graph in attachment

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.

3.how is solving radical equations different than solving linear equations?

step-by-step explanation: