Chapter 2.1, Problem 61E

2.Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the intervals of increase and decrease and the intervals of concavity. (Enter your answers in interval notation. Do not round your answers.) f(x) = (1/x^12)-(2x10^6/x^6) 2a)find the interval of increase and decrease 2b)find the interval where the function is concave up and concave down

5. If f(x)=-3x+5 a) Find f-¹(x). b) Use function composition to prove that they are inverse functions. c) Graph f(x) and tell me why it is a one-to-one function.

2. Let a, b be real numbers for which b > a. Let functions f, g, h be defined on a domain [a, b] in the following manner. when x = a; a+b 2 when x = a; f(x) = g(x) = h(x) = (x – a)(x – b). when x > a. when x > a. x-a (a) Sketch a graph of functions f, g, h. (b) Function h is continuous at every point in its domain, but functions f, g are not continuous at x = a. Explain. (c) Function ƒ does not have a maximum value. Explain. (d) Function does not have a minimum value. Explain. (e) Function h attains both a maximum value and a minimum value. The maximum value occurs at the points x = a and x = b; and the minimum value occurs at the point x = a+b 말. Explain.