The average rate of change of a function, g(x), over an interval [a, b] is given by
Thus, the average rate of change of
over the interval 
is given by:
![Average\ rate\ of\ change= \frac{[-(8)^2-4(8)]-[-(6)^2-4(6)]}{8-6} \\ \\ = \frac{(-64-32)-(-36-24)}{2} = \frac{-96-(-60)}{2} = \frac{-96+60}{2} = \frac{-36}{2} \\ \\ -18](https://tex.z-dn.net/?f=Average%5C%20rate%5C%20of%5C%20change%3D%20%5Cfrac%7B%5B-%288%29%5E2-4%288%29%5D-%5B-%286%29%5E2-4%286%29%5D%7D%7B8-6%7D%20%5C%5C%20%20%5C%5C%20%3D%20%5Cfrac%7B%28-64-32%29-%28-36-24%29%7D%7B2%7D%20%3D%20%5Cfrac%7B-96-%28-60%29%7D%7B2%7D%20%3D%20%5Cfrac%7B-96%2B60%7D%7B2%7D%20%3D%20%5Cfrac%7B-36%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20-18)
Thus, the average rate of change of
Line w is steeper than line t and has a y-intercept that is below the y-intercept of line t. Which function could be represented
by line w?
Y=2/3x - 1
Y= -2/8x + 4
Y= -4/3x + 4
Y=2/3x - 1
Y= -2/8x + 4
Y= -4/3x + 4
1 answer:
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Answer:
and
Step-by-step explanation:
Note that if then
Functions do not have vertical asymptotes at all.
Vertical asymptotes have functions
Functions and
have the same vertical asymptotes (when
).
Functions and
have the same vertical asymptotes (when
). See attached diagram
