**Draw graphs of the following functions. (a) f: R—>R defined by f(x) = x (b) f: R—>R defined by f(x) = |x| (c) f: R—>R defined by f(x) = x + 1 (d) f: R—>R defined by f(x) = – 3x+4 (e) f: R—>R defined by f(x) = Floor(x) (f) f: R—>R defined by f(x) = Ceiling(x) (g) f: R—>R defined by f(x) = x2 (h) f: R—>R defined by f(x) = x3**

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(a) $f:R\rightarrow R$ defined by $f(x) = x$

(b) $f:R\rightarrow R$ defined by $f(x) = |x|$

(c) $f:R\rightarrow R$ defined by $f(x) = x+1$

(d) $f:R\rightarrow R$ defined by $f(x) = -3x+4$

(e) $f:R\rightarrow R$ defined by $f(x) = Floor(x)$

The floor function is the function that takes as input a real number $x,$ and gives as output the greatest integer less than or equal to $x,$ denoted $Floor(x)$ or $\lfloor x \rfloor.$

(f) $f:R\rightarrow R$ defined by $f(x) = Ceiling(x)$

The ceiling function is the function that takes as input a real number $x,$ and gives as output the least integer greater than or equal to $x,$ denoted $Ceiling(x)$ or $\lceil x\rceil.$

(g) $f:R\rightarrow R$ defined by $f(x) = x^2$

(h) $f:R\rightarrow R$ defined by $f(x) = x^3$