Fill in the blanks. Complete the following.( Intercepts, Zeroes and Asymptotes of Rational Functions ) 1.of the graph of a rational function are the points ofintersection of its graph and an axis.2.of a function are the values of x which make the functionThe numbered zeroes are alsoof the graph of thezero.function.3.of the graph of a rational function r(x), if it exists, occursat the zeros of the numerator that are not zeros of the denominators. Tofindequate the function toof the graph of a rational function r(x) if it exists, occurssimply4.at r(0), provided that r(x) is defined at x = 0. To findevaluate the function at x =5. Anis an imaginary line to which a graph gets closer andcloser as the x or y increases or decreases its value without limit.6. То findof a rational function, first reduce the givenfunction to simplest form then find the zeroes of the denominator that arenot zeros of the numerator.of a rational function, compare the degree7. To determine theof the numerator n and the degree of the denominator d.If n < d, the horizontal asymptote isIf n = d, the horizontal asymptote y is the ratio of the leadingcoefficient of the numerator a, to the leading coefficient of thedenominator b. That is y =If n > d, there ishorizontal asymptote.8. An oblique asymptote is a line that isoblique asymptote, divide the numerator by the denominator by eitherusing long division or synthetic division. The oblique asymptote is thequotient with the remainder ignored and set equal to y.To determine

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1. of the graph of a rational function are the points of intersection of its graph and an axis. of a function are the values of x which make the function of the graph of the 2. zero. The numbered zeroes are also function. 3. of the graph of a rational function r(x), if it exists, occurs at the zeros of the numerator that are not zeros of the denominators. To find equate the function to