What is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x + 2?

Question

anonymous · Answer

We are looking at "Average rate" so in this case, we are differentiating respect to x

anonymous · Answer

Okay so I should derive it first to just get 4 right?

anonymous · Answer

Yeah, it is within the closed intervals of [1,5] :)

sohailiftikhar · Answer

as you are given y=4x+2 and interval simply put the value of x through interval and get value of y now you can make a graph by putting some more value of x ...
by this graph only consider the interval values ans take average of any tow values of y ..
does it make sense ../???

anonymous · Answer

In a scenario where you differentiate and the value is not within the closed interval, then the value is simply not right, however in this case it is...

anonymous · Answer

So f(5) would be 5 and f(1) would be 1 and when you subtract them you would get 4?

anonymous · Answer

Is that how you got four?

anonymous · Answer

y = 4x +2 

dy = 4 
dx

sohailiftikhar · Answer

yeah it will be 4 ...

anonymous · Answer

Okay thank you!

sohailiftikhar · Answer

welcome its my pleasure ....