Rational Functions Out of Communication Mark Task #2 K C 7 A T Totals 1. A function y = f(x) has a hole whose coordinate
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Rational Functions Out of Communication Mark Task #2 K C 7 A T Totals 1. A function y = f(x) has a hole whose coordinates occur at (3, 2) and the function y = f(x) has at least one vertical asymptote. Provide the equation of any rational function that satisfies this requirement. Explain how you arrived at your equation. Leave your answer in factored form.
2. Provide an example of two different rational functions so that: f(x) represents a rational function that does NOT cross it's horizontal asymptote AND g(x)represents a rational function that DOES cross its horizontal asymptote. You must clearly indicate or prove why and how you know your functions satisfy the above requirements. Simply stating two functions without justification will result in a loss of marks.
Rational Functions Out of Communication Mark Task #2 K C 7 A T Totals 1. A function y = f(x) has a hole whose coordinates occur at (3, 2) and the function y = f(x) has at least one vertical asymptote. Provide the equation of any rational function that satisfies this requirement. Explain how you arrived at your equation. Leave your answer in factored form.
2. Provide an example of two different rational functions so that: f(x) represents a rational function that does NOT cross it's horizontal asymptote AND g(x)represents a rational function that DOES cross its horizontal asymptote. You must clearly indicate or prove why and how you know your functions satisfy the above requirements. Simply stating two functions without justification will result in a loss of marks.