Homework1-algebra review - Math 1508 Problem Set 1 Problem 1 Algebra Review a Evaluate the following without using a calculator 2 5 3 5 16 10 b Simplify

Homework1-algebra review - Math 1508 Problem Set 1 Problem...

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Week One: Summer 2014 Math 1508 Problem Set 1: Problem 1: Algebra Review a.Evaluate the following without using a calculator 25+516310b.Simplify the following expression ? + 1 c.Solve for x (give exact solution) d.Solve: Give your solution in interval notation 27 − 3? ≥ 4 − 2? e.Solve. Give your solution in interval notation: |2? − 4| ≤ 1 Problem 2: Write equations of the lines through the given point (a) parallel to and (b) perpendicular to the given line. 8 ) Problem 3: a.Find the domain and range for the following functions. i.?(?) = √4? − 2ii.?(?) =3𝑥√4𝑥−2
Week One: Summer 2014 b.Why are the domains different in parts i. and ii.? Please write a short paragraph (5 sentences) explaining your answer. Problem 4 [sec 1.6]: Sketch the graph of the function then give its domain and range. ℎ(?) = {−4+?2? < −23 + ?−2 ≤ ? ≤ 01?? > 0
Week One: Summer 2014 Problem 5 [sec 1.9]: For the function ?(?) =4𝑥−56𝑥+4a.Find the invers function of ?b.Graph both ?and . ?−1on the same set of coordinate axes. c.State the domains and ranges of ?and ?−1 .