# Vertical and Horizontal Asymptotes Determination

1.Find the asymptotes, the intercepts and sketch the following function. A computer sketch is not sufficient. You must explain.For each of the following functions, do a complete analysis: determine the vertical and horizontal asymptotes, and the x and y intercepts; and sketch a graph of the function. Section 6.2, number 6

y = 1/(x-1)^2

2. The two roots of a quadratic equation are:

x = -3 +/- (5)^1/2 / 6

Find the equation

3. (a) Sketch the following functions on the same set of axes:

y = 4^x and y= (1/4)^x'

See attachment for better formula representation

Â© BrainMass Inc. brainmass.com May 25, 2023, 12:49 am ad1c9bdddfhttps://brainmass.com/math/basic-calculus/vertical-horizontal-asymptotes-determination-586242

#### Solution Preview

1. Find the asymptotes, the intercepts and sketch the following function. A computer sketch is not sufficient. You must explain.

For each of the following functions, do a complete analysis: determine the vertical and horizontal ...

#### Solution Summary

The solution gives detailed steps on determining the vertical and horizontal asymptotes, the x and y intercepts and sketching a graph of the function. Graphs are provided to be able to depict the functions.