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- Practice with answer key: ... Rational Expressions: ... Graph each function on the same coordinate plane. 2.

- This algebra 2 / precalculus video tutorial explains how to graph rational functions with asymptotes and holes. It shows you how to identify the vertical as...
- Here, our domain is all x-values but does not include x = 2. It makes a lot of sense because I can plug any values of x into the function with the exception of x = 2, and the function will have valid outputs. The graph below shows that x = 2 is actually a vertical asymptote (see the dashed orange line). To find the range is a bit tricky.

- Michigan State University
- Rational Numbers We call the set of real integers and fractions "rational numbers." Rational comes from the word "ratio" because a rational number can always be written as the ratio, or quotient, of two integers. Examples of rational numbers The fraction ½ is the ratio of 1 to 2.
- Since g(t) is a square root, set the expression under the radical to greater than or equal to zero: 2 - 3t ( 0 ( 2 ( 3t ( 2/3 ( t. Therefore, the domain of g(t) = { t | t ( 2/3 }. Confirm by graphing: you will see that the graph "lives" to the left of 2/3 on the horizontal axis. Since h(p) is a rational function, the bottom can not equal zero.