6) Explain why we ignore the denominator of a rational function when finding the x- intercepts.
Find the factors that are common in the numerator and the denominator. Then find the intercepts and asymptotes (If an answer does not existenter ONE.Enter your asymptotes as comma-separated list of equations if necessary) x-intercept (x, y) =( (x,y) - ( y-intercept vertical asymptote(s) horizontal asymptote Sketch a graph of the rational function 10
8) Given the rational function: f(x)=x6 STEP 1: Factor the numerator and denominator of (v). Find the domain STEP 2: Write 1x) in lowest terms. STEP 3. Find the x-and y-intercepts. STEP 4: Determine the vertical asymptote(s) (VA). Does f have any holes in its graph? If so, determine the x-values of the holes STEP 5: Determine the horizontal asymptote (HA) if one exists. Determine if /intersects the HA. If fdoes intersect the HA, what is the ordered pair? STEP...
Find all intercepts for the rational function Instructions: Enter intercepts as points using brackets, (, y). Type none it f does not have an intercept of the prescribed type The y-intercept is List the x-intercepts separating entries by commas, if necessary
(19 write an equation for rational function with vertical asymptates at X=-Sand X=2, x-intercepts at (3,0) and (610) and y-intercetat (0,4) Type the function in factured form.
Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) (x, y) = ( x-intercept y-intercept (x, y) = ( Need Help? Read It Watch It Master It Talk to a Tutor
5. (6 points) Analyze the graph of the rational function f(x) = x + x -12 x² - 4 Label the intercepts, asymptotes, if any.
Find an equation of a rational function having given asymtotes,intercepts, and graph show work please 6 21:14 6 21:14
The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes", Use the graph to complete the following. (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. : None O=o (0,0) Dando Vertical asymptote(s): 1 Horizontal asymptote(s): U [0,0] (0,0) (0,0) O ovo 00 - - -8 EEE-- - -6 1 (b)...
The graph of a rational function fis shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. (a) Find all x-intercepts and y-intercepts. Check all that apply. X-intercept(s): 4 00 01 None . : O=D y-intercept(s): 01 04 00 None Dando None (0,0) HHH [0,0] (0,0] [0,0) (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary....
Consider the following exercises: 1. What are the advantages of computing limit algebraically over using tables of values or graphs? 2. Give an example of a polynomial or rational function and describe an algebraic method for finding limits for the polynomial or rational function. ( X ) by computing f (a), what should you do if the result is a fraction with 3.When trying to compute lim r-+a denominator zero? 2) . Explain when each method would be used and...