Using a DEMOS calculator, graph and analyze rational functions.

https://youtu.beUZvJsjlE0s

+ 85. f(x) -Fill in the blanks as you proceed through the assignment. 1. The rational function I chose is: Write in correct function notation with R(x) 2. The numerator function is: Write in correct function notation with N(x) 3. The denominator function is: Write in correct function notation with D(x) 4. The real zeros of the denominator function will be the values to exclude from the domain. Show your work to solve your D(x) = 0 and then state the domain of R(x). 5. The real zeros of the numerator function will be the x intercepts of the graph of R(x). Show your work to solve your N(x) = 0 and state the x-intercepts of R(x). 6. If there are no common factors between the numerator function and the denominator function, the graph of the function will have vertical asymptote(s) at each value excluded from the domain. These will be equations in the form: x = _(the excluded number from #3 above). Write the equation(s) of the vertical asymptotes for your R(x). 7. Decide if the rational function you chose has a horizontal asymptote. Refer to Chapter 3, Section 5, Example 3 of the eText in MyLab Math (page 421). Read the example and then try Checkpoint 3 at the end of the page. Thinking back to the rational function you chose for #1, What is the degree of your N(x)?_ What is the degree of your D(x)?_ Fill in the degrees under the comparison that applies. Numerator Degree Smaller Degrees Equal Numerator Degree Larger Degree N(x) Degree D(x) 3. Write the equation for the horizontal asymptote for your function. Use the format y = _(the correct number based on the degree comparison in #7). 9. Copy (by hand) the graph of your rational function from Desmos to the grid below. Use a ruler/straight- edge to draw the x and y axes. Label the correct scale on both the x and y axes as well. Include dashed lines for the vertical and horizontal asymptotes