Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

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.

Ask a homework question - tutors are online