College Algebra HELP
posted by Rosie .
Use the seven step method described in the book to graph the following rational function
f(x)=(2x^2+x3)/(2x^27x)
1) Determine the symmetry of the function
2) Find the yintercept
3) Find the xintercept
4) Find the vertical asymptotes
5) Find the horizontal asymptotes
6) Plot points between and beyond the xintercept and the vertical asymptotes.
Type the ycoordinate for each of the following points:
5 2 1 2 5
7) What should the graph look like

f(x) = (2x+3)(x1) / x(2x7)
So, the denominator is zero at x=0,7/2 making vertical asymptotes
Top and bottom are both quadratics with x^2 coefficient=2, so there is a horizontal asymptote at y = 2/2 = 1
There is no yintercept, because f(x) is not defined for x=0
It's easy to see where y=0
f(x) is neither even nor odd, so there is no symmetry
visit wolframalpha.com to check out the graph. Just type in the function
Respond to this Question
Similar Questions

College Algebra
1.The graph of y =  1/2 x  5  3 can be obtained from the graph of y = x by which transformations? 
College Algebra
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 yintercept, … 
Maths
Given the quadratic function y =3x^2+10x8 (i)Find the yintercept. (ii)Find the xintercept. (iii) Calculate the axis of symmetry. (iv)Find the coordinates of the vertex (v)Sketch the graph of the above function. 
mathplease help,need quickly
find the slant asymptote of the graphof the rational function. 1.f(x)=x^2x2/x7 y=? 
Algebra
Find the following function f(x)=(x+3)^2(x1)^2 (a)Find the x and y intercept of the polynomial function f. (b) Determine whether the graph of the f crosses or touches the xaxis at each x intercept. (c) Put all the information to … 
pre calculus
use the seven step method to graph the following rational function: f(x)=3x^2+x4/2x^25x a. determine the symmetry of the function. b. find the x and y intercepts. c. find the verticle asymptote d.find the horizontal asymptote e.plot … 
pre calculus
find the following for the function f(x)=(x+3)^2(x1)^2 a.) find the x and y intercept of the polynomial function f. b.)find the power function that the graph of f ressembles for large values of lxl. c.)determine the maximum number … 
Seven step method
Use the seven step method described in the book to graph the following rational function f(x)=(2x^2+x3)/(2x^27x) 1) Determine the symmetry of the function 2) Find the yintercept 3) Find the xintercept 4) Find the vertical asymptotes … 
Algebra
Find a rational function that satisfies the given conditions. Vertical asymptotes x=2,x=7 Horizontal asymptote y=7/2 xintercept (−5, 0) 
Algebra
Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the yintercept of each function and any asymptotes of each function. So far I …