f(x)=x2-9

Check the leading coefficient of the function. This number is the coefficient of the expression with the largest degree.

Largest Degree: 2

Leading Coefficient: 1

Create a list of the coefficients of the function except the leading coefficient of 1.

-9

Arrange the terms in ascending order.

b1=|-9|

The absolute value is the distance between a number and zero. The distance between -9 and 0 is 9.

b1=9+1

Add 9 and 1.

b1=10

b1=10

The absolute value is the distance between a number and zero. The distance between -9 and 0 is 9.

b2=9

Arrange the terms in ascending order.

b2=1,9

The maximum value is the largest value in the arranged data set.

b2=9

b2=9

Take the smaller bound option between b1=10 and b2=9.

Smaller Bound: 9

Every real root on f(x)=x2-9 lies between -9 and 9.

-9 and 9

Find the Bounds of the Zeros f(x)=x^2-9