Graphing Rational Functions
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x 0 x=5
F(x)
1 is the function connected with the above graph. The domain is 10( x − 5) associated with the denominator. Set the denominator equal to zero. The value of the zero is 5. This is a bad number. Thus, the vertical asymptote is x = 5. The domain therefore is all real numbers except for 5, that is, (−∞,5) (5, ∞). The horizontal asymptote is the value of the functions as x approaches negative infinity and as x approaches positive infinity. Based on your table of values of the function, you will see that the HA is y = 0.1. You can plug in small negative values (-100, -1000, etc.) and see the value of f(x) and plug in large positive values (100, 1000, etc.) and see the value of f(x). f ( x) =
F(x)
1 is the function connected with the above graph. The domain is 10( x − 5) associated with the denominator. Set the denominator equal to zero. The value of the zero is 5. This is a bad number. Thus, the vertical asymptote is x = 5. The domain therefore is all real numbers except for 5, that is, (−∞,5) (5, ∞). The horizontal asymptote is the value of the functions as x approaches negative infinity and as x approaches positive infinity. Based on your table of values of the function, you will see that the HA is y = 0.1. You can plug in small negative values (-100, -1000, etc.) and see the value of f(x) and plug in large positive values (100, 1000, etc.) and see the value of f(x). f ( x) =
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