If f is a function such that f(b) -f(a)/b-a=2, then which of the following statements must be true?
f(a) = f(b) = 2
The slope of the tangent line to the function at x = a is 2.
The average rate of change of the function on the interval [a, b] is 2
The linear approximation for f(x) at x = a is y = 2

Question

If f is a function such that f(b) -f(a)/b-a=2, then which of the following statements must be true? 
f(a) = f(b) = 2
 The slope of the tangent line to the function at x = a is 2. 
The average rate of change of the function on the interval [a, b] is 2 
The linear approximation for f(x) at x = a is y = 2

fudgyfingers · Answer

@Hero @ganeshie8 @Loser66 @OrangeMaster @satellite73. Please help me out, I'm pretty sure it is C, but I want to double check

fudgyfingers · Answer

The f(b) -f(a)/ b-a is the mean value theorem, I know that.

anonymous · Answer

You must be trying to blow up my brain...sorry I can't help though.

fudgyfingers · Answer

I'm blowing up my own brain. Thank you, anyway!

fudgyfingers · Answer

@ParthKohli @Luigi0210 @KendrickLamar2014 @AlexandervonHumboldt2 @satellite73

fudgyfingers · Answer

@jhonyy9

fudgyfingers · Answer

@sweetburger

fudgyfingers · Answer

@thisotherliz

anonymous · Answer

im pretty sure its c

fudgyfingers · Answer

Thanks