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1) Given the function f(x) = 3x-x+1| (a) Rewrite f as a piecewise-defined function. Sketch the graph of f. (b) (c) State the domain

$1) Given the function $ f(x)=3 x-|x+1| $ (a) Rewrite $ f $ as a piecewise-defined function. (b) Sketch the graph of \( f$

1) Given the function f(x) = 3x-x+1| (a) Rewrite f as a piecewise-defined function. Sketch the graph of f. (b) (c) State the domain and range of f. 2) Find the difference quotient for the function f(x)=x+3. State the domain of f.

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