Answer the following with respect to the four standard functions listed below:…

MATHEMATICS · Multi-part · AoPS · Mathematics · Functions · Functions

Problem

Answer the following with respect to the four standard functions listed below: f1(x)=cf_1(x)=c (constant, c∈Rc\in\mathbb R), f2(x)=xf_2(x)=x (identity), f3(x)=x2f_3(x)=x^2 (quadratic) and f4(x)=1xf_4(x)=\dfrac{1}{x} (reciprocal). (i) For each function, write its domain, co-domain (take R\mathbb R unless otherwise stated) and range. (ii) State the xx-intercept(s) and yy-intercept(s), if any, of each function. (iii) Mention the equation(s) of any vertical or horizontal asymptote(s) that occur. (iv) State whether each function is even, odd or neither and justify your answer in each case.

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