number 90

ulus_singlevariable/index.php#/p/80 83. f(x) = X - x # 84. f(x) = 2x - 4, x # 3 *=1 1 , x =3 Writing In Exercises 85 and 86, use a graphing utility to graph the function on the interval [-4, 4]. Does the graph of the function appear to be continuous on this interval? Is the function continuous on [-4, 4]? Write a short paragraph about the importance of examining a function analytically as well as graphically. 85. f(x) = sin x 8 86. f(x) = X 2 Writing In Exercises 87-90, explain why the function has a zero in the given interval. Function Interval 87. f( x) = 12x4 - x3+4 [1. 2] 88. f(x) = x3 + 5x - 3 [0, 1] 89. f (x) = x2 - 2 - cos x [O, 77 ] 90. f(x) = -+ tan TT X 10 [1. 4] X Using the Intermediate Value Theorem In Exercises 2, 91-94, use the Intermediate Value Theorem and a graphing )). utility to approximate the zero of the function in the interval [0, 1]. Repeatedly "zoom in" on the graph of the function to approximate the zero accurate to two decimal places. Use the zero or root feature of the graphing utility to approximate the zero accurate to four decimal places. 91. f(x) = 1+x