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Math 170 Review for Exam 1 Meier Ch1 & Ch2 1) Given f(x) =—2x? +3x find each of the following: F(-3) ; f(2) ; f-a) ; fla+h) 2) Determine whether the functions are one-to-one... a) f(x) =-3x+5 b) f(x) =|x-3| 3) Find the domain of each, express answers in interval notation x+1 5 a x)= b) f(x) = IOs IG) ara x+1 9 for x<-2 4) Graph the piecewise function: f(x) = Gran 7 I@) fs for x 2-2 5) Find the average rate of change for f(x) =10x? +x a) From x=1tox=2 b) from [4, 4+h] 6) Given f(x) =3x+2 and g(x)=5-6x find each: a) (f° g)(x) b) (geg)(x) 7) Given =" 4 and g(xyet find (fo g)(x) x 8) Using transformations sketch a graph of the given functions: a) f(x) =(x-3) b) f(x) =-|x +4] +3 9) Given the graph of f(x), sketch the graph of each: a) g(x) = f(x +10) 10) Solve the absolute value equations: a) |x+4|=18 b) 2|x-1|-5=9 c) f(x) =V6-3x c) f(x)=Vx +5 b) g(x) =-5 £0) 11) Solve the inequalities and graph on a number line, state the solution in interval notation: a) [3x -2| <7 b) 4d 3 25