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Which tool can be used for graphing functions with a slant asymptote?

a) Desmos
b) GeoGebra
c) Wolfram Alpha
d) Grapher

User Briana
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1 Answer

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Final answer:

Desmos, GeoGebra, Wolfram Alpha, and Grapher can all be used to graph functions with a slant asymptote. These tools provide visual representations of such functions, which can be helpful when studying the behavior of rational functions that have a slant asymptote.

Step-by-step explanation:

The tools that can be used for graphing functions with a slant asymptote include Desmos, GeoGebra, Wolfram Alpha, and Grapher. These graphing calculators allow users to visualize functions, with features supporting asymptote recognition. When graphing functions such as rational functions, the slant asymptote can occur if the degree of the numerator is one more than the degree of the denominator. To graph such functions, you input the function into the tool, and it will display the graph along with any horizontal, vertical, or slant asymptotes.

Figure 12.4 demonstrates linear functions where a slant asymptote could be applicable when b is not zero. In contrast, in Figure 1.28 various types of relationships are shown, but for functions with slant asymptotes, one would look at functions that are ratios of polynomial functions where the degree of the numerator exceeds the denominator by one. For understanding graphs related to kinematics Column A can be helpful, but to directly graph a function with a slant asymptote, the aforementioned tools are most relevant.

User Ianpetzer
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