Problem 1AYP: The inequality 1x3 can be written in interval notation as _______________. (pp. A76-A77) Problem 2AYP: If x=2 , the value of the expression 3 x 2 5x+ 1 x is _____________. (pp. A6-A7) Problem 3AYP: The domain of the variable in the expression x3 x+4 is ________________. (p.A7) Problem 4AYP: Solve the inequality: 32x5 . Graph the solution set. (pp. A79-A80) Problem 5AYP: To rationalize the denominator of 3 5 2 , multiply the numerator and denominator by _______. (p.A88) Problem 6AYP: A quotient is considered rationalized if its denominator contains no ________. (p. A88) Problem 7CV: If f is a function defined by the equation y=f( x ) , then x is called the _________ variable, and y... Problem 8CV: If the domain of f is all real numbers in the interval [ 0,7 ] , and the domain of g is all real... Problem 9CV: The domain of f g consists of numbers x for which g( x ) ____________ 0 that are in the domains of... Problem 10CV: If f( x )=x+1 and g( x )= x 3 , then _______ = x 3 ( x+1 ) . Problem 11CV: True or False Every relation is a function. Problem 12CV: True or False The domain of ( fg )( x ) consists of the numbers x that are in the domains of both f... Problem 13CV: True or False If no domain is specified for a function f , then the domain of f is taken to be the... Problem 14CV: True or False The domain of the function f( x )= x 2 4 x is { x| x2 } . Problem 15CV: The set of all images of the elements in the domain of a function is called the ____ . (a) range (b)... Problem 16CV: The independent variable is sometimes referred to as the _______ of the function. (a) range (b)... Problem 17CV: The expression f( x+h )f( x ) h is called the _____ of f . (a) radicand (b) image (c) correspondence... Problem 18CV: When written as y=f( x ) , a function is said to be defined ___________. (a) explicitly (b)... Problem 19SB: In Problems 19-30, state the domain and range for each relation. Then determine whether each... Problem 20SB: In Problems 19-30, state the domain and range for each relation. Then determine whether each... Problem 21SB: In Problems 19-30, state the domain and range for each relation. Then determine whether each... Problem 22SB: In Problems 19-30, state the domain and range for each relation. Then determine whether each... Problem 23SB: In Problems 19-30, state the domain and range for each relation. Then determine whether each... Problem 24SB: In Problems 19-30, state the domain and range for each relation. Then determine whether each... Problem 25SB: In Problems 19-30, state the domain and range for each relation. Then determine whether each... Problem 26SB: In Problems 19-30, state the domain and range for each relation. Then determine whether each... Problem 27SB Problem 28SB Problem 29SB Problem 30SB Problem 31SB: In Problems 19-30, state the domain and range for each relation. Then determine whether each... Problem 32SB: In Problems 31-42, determine whether the equation defines y as a function of x. y= x 3 Problem 33SB: In Problems 31-42, determine whether the equation defines y as a function of x. y= x 3 Problem 34SB: In Problems 31-42, determine whether the equation defines y as a function of x . y=| x | Problem 35SB: In Problems 31-42, determine whether the equation defines y as a function of x . y 2 =4 x 2 Problem 36SB: In Problems 31-42, determine whether the equation defines y as a function of x . y= 12x Problem 37SB: In Problems 31-42, determine whether the equation defines y as a function of x . x= y 2 Problem 38SB: In Problems 31-42, determine whether the equation defines y as a function of x . x+ y 2 =1 Problem 39SB: In Problems 31-42, determine whether the equation defines y as a function of x . y= x 3 Problem 40SB: In Problems 31-42, determine whether the equation defines y as a function of x . y= 3x1 x+2 Problem 41SB: In Problems 31-42, determine whether the equation defines y as a function of x . 2 x 2 +3 y 2 =1 Problem 42SB: In Problems 31-42, determine whether the equation defines y as a function of x . x 2 4 y 2 =1 Problem 43SB: In problems 43-50, find the following for each function: (a) f( 0 ) (b) f( 1 ) (c) f( 1 ) (d) f( x )... Problem 44SB: In problems 43-50, find the following for each function: (a) f( 0 ) (b) f( 1 ) (c) f( 1 ) (d) f( x )... Problem 45SB Problem 46SB: In problems 43-50, find the following for each function: (a) f( 0 ) (b) f( 1 ) (c) f( 1 ) (d) f( x )... Problem 47SB: In problems 43-50, find the following for each function: (a) f( 0 ) (b) f( 1 ) (c) f( 1 ) (d) f( x )... Problem 48SB: In problems 43-50, find the following for each function: (a) f( 0 ) (b) f( 1 ) (c) f( 1 ) (d) f( x )... Problem 49SB: In problems 43-50, find the following for each function: (a) f( 0 ) (b) f( 1 ) (c) f( 1 ) (d) f( x )... Problem 50SB Problem 51SB: In Problems 51-66, find the domain of each function. f( x )=5x+4 Problem 52SB: In Problems 51-66, find the domain of each function. f( x )= x 2 +2 Problem 53SB: In Problems 51-66, find the domain of each function. f( x )= x x 2 +1 Problem 54SB Problem 55SB: In Problems 51-66, find the domain of each function. g( x )= x x 2 -16 Problem 56SB: In Problems 51-66, find the domain of each function. h( x )= 2x x 2 -4 Problem 57SB: In Problems 51-66, find the domain of each function. F( x )= x-2 x 3 +x Problem 58SB: In Problems 51-66, find the domain of each function. G( x )= x+4 x 3 -4x Problem 59SB: In Problems 51-66, find the domain of each function. h( x )= 3x-12 Problem 60SB: In Problems 51-66, find the domain of each function. G( x )= 1-x Problem 61SB: In Problems 51-66, find the domain of each function. p( x )= 2 x-1 Problem 62SB Problem 63SB Problem 64SB Problem 65SB Problem 66SB Problem 67SB: In problems 67-76, for the given functions f and g , find the following. For parts (a)-(d), also... Problem 68SB: In problems 67-76, for the given functions f and g , find the following. For parts (a)-(d), also... Problem 69SB Problem 70SB: In problems 67-76, for the given functions f and g , find the following. For parts (a)-(d), also... Problem 71SB: In problems 67-76, for the given functions f and g , find the following. For parts (a)-(d), also... Problem 72SB Problem 73SB: In problems 67-76, for the given functions f and g , find the following. For parts (a)-(d), also... Problem 74SB Problem 75SB: In problems 67-76, for the given functions f and g , find the following. For parts (a)-(d), also... Problem 76SB: In problems 67-76, for the given functions f and g , find the following. For parts (a)-(d), also... Problem 77SB: Given f( x )=3x+1 and ( f+g )( x )=6- 1 2 x , find the function g . Problem 78SB: Given f( x )= 1 x and ( f g )( x )= x+1 x 2 -x , find the function g . Problem 79SB: In Problems 79-90, find the difference quotient of f ; that is, find f( x+h )-f( x ) h , h0 , for... Problem 80SB Problem 81SB: In Problems 79-90, find the difference quotient of f ; that is, find f( x+h )-f( x ) h , h0 , for... Problem 82SB Problem 83SB: In Problems 79-90, find the difference quotient of f ; that is, find f( x+h )-f( x ) h , h0 , for... Problem 84SB: In Problems 79-90, find the difference quotient of f ; that is, find f( x+h )-f( x ) h , h0 , for... Problem 85SB: In Problems 79-90, find the difference quotient of f ; that is, find f( x+h )-f( x ) h , h0 , for... Problem 86SB: In Problems 79-90, find the difference quotient of f ; that is, find f( x+h )-f( x ) h , h0 , for... Problem 87SB: In Problems 79-90, find the difference quotient of f ; that is, find f( x+h )-f( x ) h , h0 , for... Problem 88SB: In Problems 79-90, find the difference quotient of f ; that is, find f( x+h )-f( x ) h , h0 , for... Problem 89SB Problem 90SB: In Problems 79-90, find the difference quotient of f ; that is, find f( x+h )-f( x ) h , h0 , for... Problem 91AE: Given f( x )= x 2 -2x+3 , find the value(s) for x such that f( x )=11 . Problem 92AE Problem 93AE Problem 94AE Problem 95AE Problem 96AE Problem 97AE Problem 98AE Problem 99AE: Constructing Functions Express the gross salary G of a person who earns 14 per hour as a function of... Problem 100AE Problem 101AE Problem 102AE Problem 103AE: Effect of Gravity on Earth If a rock falls from a height of 20 meters on Earth, the height H (in... Problem 104AE Problem 105AE: Cost of Transatlantic Travel A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an airspeed... Problem 106AE Problem 107AE Problem 108AE Problem 109AE Problem 110AE Problem 111AE: Profit Function Suppose that the revenue R , in dollars, from selling x cell phones, in hundreds, is... Problem 112AE Problem 113AE Problem 114AE Problem 115DW: Are the functions f( x )=x1 and g( x )= x 2 1 x+1 the same? Explain. Problem 116DW: Investigate when, historically, the use of the function notation y=f( x ) first appeared. Problem 117DW Problem 118RYK: Problems 118-121 are based on material learned earlier in the course. The purpose of these problems... Problem 119RYK: Problems 118-121 are based on material learned earlier in the course. The purpose of these problems... Problem 120RYK: Problems 118-121 are based on material learned earlier in the course. The purpose of these problems... Problem 121RYK format_list_bulleted