Question

Find a function f such that the graph of f contains the point (0,2) ... (more to be added)

Answer 1

Find a function f such that the graph of f contains the point ( 0,2 )
and such that for every value of \[x_{0}\] the tangent line to the graph of f at \[x _{0}\]
is parallel to the tangent line to the graph of \[y=e ^{x}\] at \[x _{0}\]

Answer 2

Is this for a calculus class?

Answer 3

certainly is

Answer 4

I think I have it figured out

Answer 5

well think about this problem in reverse, if we were given the function how would you find the equation of the tangent line..

Answer 6

ok great :)

Answer 7

I don't need the equation of the tangent line. I know that. It's y-2=\[xe ^{x}\]

Answer 8

y=e^x +1 satisfies all of the conditions

Answer 9

wow thanks ollie

Answer 10

you're welcome