# Find the Bounds of the Zeros f(x)=3e^(45(-0.08)) f(x)=3e45(-0.08)
Check the leading coefficient of the function. This number is the coefficient of the expression with the largest degree.
Largest Degree: 0
The leading coefficient needs to be 1. If it is not, divide the expression by it to make it 1.
Move e45(-0.08) to the denominator using the negative exponent rule b-n=1bn.
f(x)=33e-45⋅-0.08
Cancel the common factor of 3.
Cancel the common factor.
f(x)=33e-45⋅-0.08
Rewrite the expression.
f(x)=1e-45⋅-0.08
f(x)=1e-45⋅-0.08
Multiply -45 by -0.08.
f(x)=1e3.6
f(x)=1e3.6
Create a list of the coefficients of the function except the leading coefficient of 1.
0
There will be two bound options, b1 and b2, the smaller of which is the answer. To calculate the first bound option, find the absolute value of the largest coefficient from the list of coefficients. Then add 1.
Arrange the terms in ascending order.
b1=0
Add 0 and 1.
b1=1
b1=1
To calculate the second bound option, sum the absolute values of the coefficients from the list of coefficients. If the sum is greater than 1, use that number. If not, use 1.
Arrange the terms in ascending order.
b2=0,1
The maximum value is the largest value in the arranged data set.
b2=1
b2=1
The bound options are the same.
Bound: 1
Every real root on f(x)=3e45(-0.08) lies between -1 and 1.
-1 and 1
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