Consider the function $f(x)=\frac{x+1}{2x-1}.\ What\ is\ the\ horizontal\ asymptote\ of\ the\ function\ ?$

Consider the function $f(x)=\frac{1}{x}.\ What\ is\ the\ vertical\ asymptote\ of\ the\ function\ ?$

$The\ horizontal\ asymptote\ of\ a\ rational\ function\ is\ the\ leading\ coefficients\ of\ the\ numerator\ and\ deno\min ator\ if\ the\ \deg ree\ of\ the\ deno\min ator\ is$ ___________ $the\ \deg ree\ of\ the\ numerator.$

$If\ the\ horizontal\ asymptote\ of\ a\ rational\ function\ is\ y=0\ ,\ the\deg ree\ of\ the\ deno\min ator\ is$ ___________ $the\ \deg ree\ of\ the\ numerator.$

If the degree of the denominator is greater than the degree of the numerator, then y=0 is a___________asymptote.

$The\ oblique\ asymptote\ of\ a\ rational\ function\ is\ the\ quotient\ of\ the\ numerator\ and\ deno\min ator\ if\ the\ \deg ree\ to\ the\ deno\min ator\ is$ ___________ $the\deg ree\ of\ the\ numerator.$

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The subtraction of two rational number $\frac{1}{3}-\frac{2}{5}$ = __________________ .

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$\frac{1}{\left(x-2\right)}$  is a rational function. the degree of the numerator can be __________,

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The multiplication of two rational number $\left(\frac{5}{8}\right)\ \div\ \left(\frac{3}{4}\right)$ = __________________

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The graph of this $f\left(x\right)=\frac{a}{\left(x-h\right)}$ $+\ k$ s__________.