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