Respuesta :
Answer:
The average slope is 8.
Step-by-step explanation:
Let f be defined on the closed interval [a, b]. The average slope of f between a and b is the quotient
average slope = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
To find the average slope of the function [tex]f(x)=1-4x^2[/tex] on the interval [-1, 3] you have to evaluate your function in the interval and then divide by the interval.
So,
[tex]f(-1)=1-4(-1)^2=-3\\\\f(3)=1-4(3)^2=-35[/tex]
The average slope is [tex]\frac{f(3)-f(-1)}{3+1}= \frac{-3+35}{3+1}=\frac{32}{4}=8[/tex]
