T Use the Intermediate Value Theorem in Exercises 73-80 to prove that each equation has a solution. Then use a graphing calculator or computer grapher to solve the equations. 73. x - 3x – 1 = 0 74. 2r – 2r? – 2r + 1 = 0 75. x(x 1)2 = 1 (one root) 76. x* = 2 77. Vĩ + VI +x = 4 78. x – 15x + 1 = 0 (three roots) 79. cos x = x (one root). Make sure you are using radian mode. 80. 2 sin x = x (three roots). Make sure you are using radian mode.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.