Tuesday
March 31, 2015

Homework Help: College Algebra

Posted by Kameesha on Tuesday, August 7, 2012 at 8:46pm.

Using the 7 steps outlined in section 4.3 of your book, analyze the graph of the following function:
R(x) = x^2 - 49/x^4 - 16
Step 1: Factor the numerator and denominator of R and find its domain. If 0 is in the domain, find y-intercept, R(0), and plot it.
Step 2: Write R in lowest terms as p(x)/q(x) and find the real zeros of the numerator; that is, fnd the real solutions of the equation p(x) = 0, if any. These are the x-intercepts of the graph. Determine the behavior of the graph of R near each x-intercept, using the same procedure as for polynomial functions. Plot each x-intercept and indicate the behavior of the graph near it.
Step 3: With R written in lowest terms as p(x)/q(x), find the real zeros of the denominator; that is, find the real solutions of the equation q(x) = 0, if any. These determine the vertical asymptotes of the graph. Graph each vertical asymptote using a dashed line.
Step 4: : Locate any horizontal or oblique asymptotes using the procedure given in the previous section. Graph the asymptotes using a dashed line. Determine the points, if any, at which the graph of R intercepts these asymptotes. Plot any such points.
Step 5: Using the real zeros of the numerator and the denominator of the given equation for R, divide the x-axis into intervals and determine where the graph is above the x-axis and where it is below the x-axis by choosing a number in each interval and evaluating R there. Plot the points found.
Step 6: Analyze the behavior of the graph of R near each asymptote and indicate this behavior on the graph.
Step 7: Put all the information together to obtain the graph of R.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

math - using the 7 steps outlined in sec 4.3 of your book,analyze the graph of ...
pre cal - g(x) = x^2 - x -12 / x + 1 I know the division brings it to x -2 + -10...
college algebra--need help please!! - (Using the seven steps to analyzing the ...
Geometry - using the 8 steps in Sec 4.3 of your book, analyze the graph of the ...
college algebra - analyze the graph of the following function. r(x)= x^2+x-6...
Algebra - Solve Rational Inequalities x^2-x-2/x^2+5x+6<0 I cant figure this ...
Simplifying Rational Expressions - 1.4x12 / 4x 2.d+7 / d^2-49 3.t^2-25 / t^2+t-...
Algebra - Solve Q= (N-S)/ N for N So when I multiply both sides by N I get Q(N...
College Algebra - Simplify the expression: (6ax4)^2(2x)^-2 I will be happy to ...
graph from asymptotes - Is it possible to roughly sketch a graph(without ...

Members