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anonymous
 4 years ago
What is the average rate of change of the function f(x)= X^24x+7 on the interval 1<x<3?
anonymous
 4 years ago
What is the average rate of change of the function f(x)= X^24x+7 on the interval 1<x<3?

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dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0basically its the slope formula: f(3) f(1)/ 31

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.0find f(1) and f(3) average rate of change is \[m = [(f(3)  f(1)]/(3  1)\]

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0rate of change = slope technically avg rate of change is defined as: \[\frac{1}{ba}\int\limits_{a}^{b} f'(x) dx = \frac{f(b) f(a)}{ba}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so can i use m= Y2Y1/X1X2 ?

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0yep the avg slope in that interval is the same as the slope of the line connecting the 2 endpoints

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0ok yeah thats it. 0/2 = 0 so the avg slope is 0

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Without doing any calculation, how can one determine the average rote of change of g(x)= mx+b over the interval X1<X<X2 ?

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0just plug it into the formula g(x2)g(x1)/ x2x1

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0simplify, you should find that things cancel

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0yep, now factor out the m

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0If f(x)=1/3^x and g(x)=x^3, what is the domain of (f.g)(x)?

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0so you are plugging g(x) into the variable for f > 1/3^g(x) = 1/3^(x^3) domain is all possible x_values

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0f(x) and g(x) are multiply

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0oh, all real num there is no x value that makes it undefined

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0{x E R} ? x is not equal 1 ?

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0umm well R is used as notation for the set of all real numbers

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i mean x can't be equal 1 or x can't be equal 0 or x can't be equal 1 or just { x E R } ?
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