Consider the following piecewise defined function {{MATH_80}} Find the constants {{MATH_81}} and {{MATH_82}} so that {{MATH_83}} is continuous at both {{MATH_84}} and {{MATH_85}}. {{CMD_86}} This problem is more challenging because we have more unknowns. However, be brave intrepid mathematician. To find {{MATH_87}} and {{MATH_88}} that make {{MATH_89}} continuous at {{MATH_90}}, we need to find {{MATH_91}} and {{MATH_92}} such that {{MATH_93}} Let us begin with item {{CMD_94}} of the continuity checklist at {{MATH_95}}. {{MATH_96}} exists for all values of {{MATH_97}} and {{MATH_98}}, so this item is satisfied.