Problem 1CC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How... Problem 2CC: Discuss four ways of representing a function. Illustrate your discussion with examples. Problem 3CC: (a) What is an even function? How can you tell if a function is even by looking at its graph? Give... Problem 4CC: What is an increasing function? Problem 5CC: What is a mathematical model? Problem 6CC: Give an example of each type of function. (a) Linear function (b) Power function (c) Exponential... Problem 7CC: Sketch by hand, on the same axes, the graphs of the following functions. (a) f(x) = x (b) g(x) = x2... Problem 8CC: Draw, by hand, a rough sketch of the graph of each function. (a) y = sin x (b) y = tan x (c) y = ex... Problem 9CC: Suppose that f has domain A and g has domain B. (a) What is the domain of f + g? (b) What is the... Problem 10CC: How is the composite function f g defined? What is its domain? Problem 11CC Problem 12CC: (a) What is a one-to-one function? How can you tell if a function is one-to-one by looking at its... Problem 13CC: (a) How is the inverse sine function f(x) = sin1 x defined? What are its domain and range? (b) How... Problem 1TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 2TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 3TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 4TFQ Problem 5TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 6TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 7TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 8TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 9TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 10TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 11TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 12TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 13TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 14TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 1E: Let f be the function whose graph is given. (a) Estimate the value of f(2) . (b) Estimate the values... Problem 2E: The graph of g is given. (a) State the value of g(2). (b) Why is g one-to-one? (c) Estimate the... Problem 3E: lf f(x) = x2 2x + 3, evaluate the difference quotient f(a+h)f(a)h Problem 4E: Sketch a rough graph or the yield of a crop as a function of the amount of fertilizer used. Problem 5E: Find the domain and range of the function. Write your answer in interval notation. 5. f(x) = 2/(3x ... Problem 6E: Find the domain and range of the function. Write your answer in interval notation. 6. g(x)=16x4 Problem 7E Problem 8E: Find the domain and range of the function. Write your answer in interval notation. 8. F(t) = 3 + cos... Problem 9E: Suppose that the graph of f is given. Describe how the graphs of the following functions can be... Problem 10E: The graph of .f is given. Draw the graphs of the following functions. (a) y = f(x 8) (b) y = f(x)... Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E: Determine whether f is even, odd, or neither even nor odd. (a) f(x)=2x53x2+2 (b) f(x)=x3x7 (c)... Problem 20E: Find an expression for the function whose graph consists of the line segment from point (2, 2) to... Problem 21E: If f(x) = In x and g(x) = x2 9. find the functions (a) fg (b) gf (c) ff (d) gg, and their domains. Problem 22E: Express the function F(x)=1/x+x as a composition of three functions. Problem 23E Problem 24E: A small-appliance manufacturer finds that it costs 9000 to produce 1000 toaster ovens a week and... Problem 25E: If f(x)=2x+4x , find f1(6) . Problem 26E: Find the inverse function of f(x)=2x+315x . Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E: Solve the equation for x . Give both an exact value and a decimal approximation, correct to three... Problem 37E Problem 38E: The population of a certain species in a limited environment with initial population 100 and... Problem 1P: One of the legs of a right triangle has length 4 cm. Express the length of the altitude... Problem 2P: The altitude perpendicular to the hypotenuse of a right triangle is 12 cm. Express the length of the... Problem 3P Problem 4P: Solve the inequality |x 1| |x 3| 5. Problem 5P Problem 6P: Sketch the graph of the function g(x) = |x2 1 | |x2 4|. Problem 7P Problem 8P Problem 9P: The notation max{a, b, } means the largest of the numbers a, b. Sketch the graph of each function.... Problem 10P: Sketch the region in the plane defined by each of the following equations or inequalities. (a)... Problem 11P Problem 12P Problem 13P: Find the exact value of sin100+sin2100+sin3100++sin200100 Problem 14P: (a) Show that the function f(x)=ln(x+x2+1) is an odd function. (b) Find the inverse function of f. Problem 15P: Solve the inequality ln(x2 2x 2) 0. Problem 16P: Use indirect reasoning to prove that log2 5 is an irrational number. Problem 17P: A driver sets out on a journey. For the first half of the distance she drives at the leisurely pace... Problem 18P: Is it true that f(g+h)=fg+fh? Problem 19P: Prove that if n is a positive integer, then 7n 1 is divisible by 6. Problem 20P: Prove that 1 + 3 + 5 + + (2n l ) = n2. Problem 21P: If fo(x) = x2 and fn+1(x) = fo(fn(x)) for n = 0, 1, 2,, find a formula for fn(x). Problem 22P: (a) If fo(x)=12x and fn+1=fofnforn=0,1,2,, find an expression for fn(x) and use mathematical... format_list_bulleted