Use the approach of Exercise 77 to show that

for any constant c.

Exercise 77

Draw two graphs of your choice that represent a function y = f (x) and its vertical shift y = f (x) + 3.

Pick a value of x and consider the points (x, f (x)) and (x, f (x) + 3). Draw the tangent lines to the curves at these points and describe what you observe about the tangent lines.

Based on your observation in part (b), explain why

Transcribed Image Text:

(3 + (x)ƒ)- dx d = dx -f(x) P