Question

When finding the asymptotes of a graph using a calculator, what do you typically look for?

a) Points of intersection
b) X-intercepts
c) Vertical or horizontal lines the graph approaches
d) Tangent lines

Answer 1

When finding the asymptotes of a graph using a calculator, you typically look for vertical or horizontal lines that the graph approaches. These lines can be determined by analyzing the behavior of the function as it approaches positive or negative infinity.

Step-by-step explanation:

When finding the asymptotes of a graph using a calculator, you typically look for vertical or horizontal lines that the graph approaches. These lines can be determined by analyzing the behavior of the function as it approaches positive or negative infinity.

Vertical asymptotes occur when the function approaches a certain value of x and the y-values become extremely large or small. Horizontal asymptotes occur when the function approaches a specific value of y as x approaches infinity or negative infinity.

For example, if the graph of the function y = 1/x is plotted on a calculator, you will see that it has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.