4. for each of the following functions, indicate at which point(s) the function is discontinuous and explain which of the conditions of definition 4.3 is not satisfied. in each case, graph the function. (the domain is r in each case.) (a) (b) (c) (d) - 3x + 12, x 4 f(x) = 1/2x f(x) = 1/(x – b)2 for b constant f(x) = (x – 1)/(x2 + 2x – 3) [hint: factor the denominator.]

The volume, v, of a rectangular prism is determined using the formula, where / is the length, w is the width, and his theheight of the prism. carltren solves for w and writes the equivalent equation w=using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches?

The sum of four times a number and three is two times the number minus twenty nine

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno step statement reason 1 ∠oln ≅ ∠lno given 2 draw oe as a perpendicular bisector to ln by construction 3 ∠leo ≅ ∠neo transitive property of equality 4 m∠leo = 90° definition of a perpendicular bisector 5 m∠neo = 90° definition of a perpendicular bisector 6 le ≅ en definition of a perpendicular bisector 7 δole ≅ δone side-angle-side (sas) postulate 8 ol ≅ on cpctc nina made two errors in the proof. identify and correct the errors.