a) Suppose f: R Z, where f(x) = x + | i. Graph the function f(x)....

 

 

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a) Suppose f: R Z, where f(x) = x + | i. Graph the function f(x). ii. If A = {x: 1 x 3}, find f(A). iii. Find f({0}) iv. Find f({-1,0,1)}) b) Let the functions f, g and h be defined as follows: f: R R ;f(x) = 4x - 3 g: R R ; g(x) = 2 x + 1 1 if x 0 h: R R ; h(x) 10 if x < 0 <0 Find the rules for the following functions: i. fog ii. gof iii. foh iv. hof H IF a) Suppose f: R Z, where f(x) = x + | i. Graph the function f(x). ii. If A = {x: 1 x 3}, find f(A). iii. Find f({0}) iv. Find f({-1,0,1)}) b) Let the functions f, g and h be defined as follows: f: R R ;f(x) = 4x - 3 g: R R ; g(x) = 2 x + 1 1 if x 0 h: R R ; h(x) 10 if x < 0 <0 Find the rules for the following functions: i. fog ii. gof iii. foh iv. hof H IF