Stitz-Zeager_College_Algebra_e-book

Stitz-Zeager_College_Algebra_e-book

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Unformatted text preview: 02) 30002 (−1.001, 30002) x −0.9 −0.99 −0.999 −0.9999 f (x) (x, f (x)) −28 (−0.9, −28) −298 (−0.99, −298) −2998 (−0.999, −2998) −29998 (−0.9999, −29998) As the x values approach −1 from the left, the function values become larger and larger positive numbers.2 We express this symbolically by stating as x → −1− , f (x) → ∞. Similarly, using analogous notation, we conclude from the table that as x → −1+ , f (x) → −∞. For this type of unbounded behavior, we say the graph of y = f (x) has a vertical asymptote of x = −1. Roughly speaking, this means that near x = −1, the graph looks very much like the vertical line x = −1. Another feature worthy of note about the graph of y = f (x) is it seems to ‘level off’ on the left and right hand sides of the screen. This is a statement about the end behavior of the function. As we discussed in Section 3.1, the end behavior of a function is its behavior as x as x attains larger3 and larger negative values without b...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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