Question

Suppose that f is a function with f (25) = 61 and f (25) = 3. If you have no further information, what is your best estimate of f(26.5)?

Answer 1

So at 25 f has two different values?

Answer 2

oh it's f(25) = 61 and f'(25) = 3, ask to find f(26.5)

Answer 3

Using the value of the derivative at 25 and the value of f at 25, find the equation for the tangent line at x = 25 and use it to approximate f(26.5)

Answer 4

so 61 = 3*25 + b
b = -14
f(26.5) = 3*26.5 -14 = 65.5

Answer 5

Great job!

Answer 6

thanks ^_^