# Practice: Graphs of Rational Functions

Consider the graph of the function . By looking at the graph and substituting a few successively larger values of into the function, what is the end behavior of the graph as increases along the positive -axis?

• AThe value of approaches infinity as increases.
• BThe value of approaches negative infinity as increases.
• CThe value of approaches zero as the value of increases.

Similarly, what is the end behavior of the graph as decreases?

• AThe value of approaches zero.
• BThe value of approaches .
• CThe value of approaches .

Finally, by interpreting the graph, what is happening to the function when the value of approaches zero?

• AThe value of approaches negative infinity when gets closer to zero from the negative direction or from the positive direction.
• BThe value of approaches negative infinity when gets closer to zero from the negative direction and approaches positive infinity when gets closer to zero from the positive direction.
• CThe value of approaches positive infinity when gets closer to zero from the negative direction and approaches negative infinity when gets closer to zero from the positive direction.
• DThe value of approaches positive infinity when gets closer to zero from the negative direction or from the positive direction.