Kayla Murray at 19:21, 20 May 2015

2015-05-20T19:21:22Z

Matt Lee: Created page with "'''Question ''' Consider the following rational function, $f(x) = \frac{x^2+x-2}{x^2-1}$
a. What is the domain of f?..."

2015-05-01T04:12:22Z

Created page with "'''Question ''' Consider the following rational function, <center><math>f(x) = \frac{x^2+x-2}{x^2-1}</math></center> a. What is the domain of f?..."

New page

'''Question ''' Consider the following rational function,
<center><math>f(x) = \frac{x^2+x-2}{x^2-1}</math></center> 

     a. What is the domain of f? 
     b. What are the x and y-intercepts of f? 
     c. What are teh vertical and horizontal asymptotes of f, if any? Does f have any holes? 
     d. Graph f(x). Make sure to include the information you found above.

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Answers
|-
|a) False. Nothing in the definition of a geometric sequence requires the common ratio to be always positive. For example, <math>a_n = (-a)^n</math>
|-
|b) False. Linear systems only have a solution if the lines intersect. So y = x and y = x + 1 will never intersect because they are parallel.
|-
|c) False. <math>y = x^2</math> does not have an inverse.
|-
|d) True. <math>cos^2(x) - cos(x) = 0</math> has multiple solutions.
|-
|e) True.
|-
|f) False.
|}

@@ Line 4: / Line 4: @@
 &nbsp;&nbsp;&nbsp;&nbsp; a. What is the domain of f? <br>
 &nbsp;&nbsp;&nbsp;&nbsp; b. What are the x and y-intercepts of f? <br>
-&nbsp;&nbsp;&nbsp;&nbsp; c. What are teh vertical and horizontal asymptotes of f, if any? Does f have any holes? <br>
+&nbsp;&nbsp;&nbsp;&nbsp; c. What are the vertical and horizontal asymptotes of f, if any? Does f have any holes? <br>
 &nbsp;&nbsp;&nbsp;&nbsp; d. Graph f(x). Make sure to include the information you found above.

005 Sample Final A, Question 20 - Revision history

Kayla Murray at 19:21, 20 May 2015

Matt Lee: Created page with "'''Question ''' Consider the following rational function, f(x) = \frac{x^2+x-2}{x^2-1} a. What is the domain of f?..."

Matt Lee: Created page with "'''Question ''' Consider the following rational function, $f(x) = \frac{x^2+x-2}{x^2-1}$
a. What is the domain of f?..."