5. The average weight, W, in pounds, of an adult is a function, W = f(c), of the ave
Calories per day, c, consumed.
(a) Interpret the statement f(1800) = 155.
(b) Interpret the statement f'(2000) = 0.
(c) What are the units of f'(c)?
6. If it is known that f(3) = 6 and f'(3) = 5:
(a) Estimate f(4).
(b) Estimate f(0).
(c) Give an equation for the line tangent to f line at x = 3.
7. Determine if each of the following statements are true or false.
(a) If f is negative on an interval, then the derivative of f is decreasing on that interva
(b) If f is always increasing, then f'(x) is always increasing.
(c) If y = f(x), then f'(x) and \frac{dy}{dx} mean the same thing.
(d) A function can have more than one point where its derivative is equal to 0.
