Toggle navigation
Ask Questions
Ask
Answer Questions
Answer
Users
FAQ
Login
Register
Preview 50% of the Answer Below
Due to formatting, images, tables, or paragraphs may be out of place or not shown. Rest assured that they will be included and formatted correctly in your purchased answer.
Details
Question Title:
Honors Precalculus Limits problem
Go Back to the Question
Answer Preview
</XXXXXX> <p>f(x)=(x^X-X*x+X)/(x^X-X)</p> <p>If you XXXXXXXXX this XXXXXXXX, XXXX you will XXX is:</p> <p>f(x)=(x-1)(x-X)/(x-X)(x+1)</p> <p>As you can XXX in XXX XXXXX also XXXX the graph XX asymphtotic at x= -1</p> <p>1. XXXXX XXX range XX XXX equation XXX:<br>Domain:<XX>x X (-XXXXXXXX, + XXXXXXXX) - {-1}</p> <p>XXXXX:</p> <p>y E (-infinity, XXXXXXXX) - {1}</p> <p>XXXXX XXXXXXXXXX XXXXXXXX at x= -X<br><XX></p> <p>2. XXX XXXX is XXXXX in XXX XXXXX attached XX a PNG file.</p> <p>As XXXXXXX found out in XXXXXXXX 1 the simplified function XX the XXXXXXXX XX f(x)=(x-4)/(x+X)<XX>XXX root of XXX XXXXXXXX is x = 4 XXXXX can be seen in the graph.<XX>XX x -> infinity,</p> <p>Lim (x-X)/(x+1) = Lim (1-4/x)/(X+X/x)<br>x-&XX;infinity x-&XX;XXXXXXXX</p> <p>As we know XXX XXXXXX when divided by infinity equals to zero (n/infinity=0)</p> <p>Therefore, the value of the XXXXXXXX when x XXXXXXXXXX XXXXXXXX XX X.</p> <p>XXX, if we plot XXX XXXX XXXXXXX on a XXXX XXXX XX XXX,<br><XX> + - +<XX><------------------|--------------------------------|--------------------------------><XX>-infinity -1 4 +infinity</p> <p><br></p> <p>The sign changes XXXXXXX at both x=4 XXX x=-1. At x-&XX;-X the XXXXXXXXXXX XXXXXXXXXX X XXXXXXXXX the equation is XXXXXXXXXXX as x->-X.</p> <p>X. As x-&XX; -1, the XXXXXXXXXXX of XXX simplified XXXXXXXX, f(x) = (x-X)/(x+1) approaches 0. XXXXXXXXX, the equation XXXXXXXXXX infinity.</p> <p><XX>4. At x=X the value of XXX XXXXXXXXX = 0 XXXXX denominator XX X.<XX>y= X at x=X.<br>By the XXXXXXX of XXXXX, when x->4 from XXXXXX XXXXXXXXX the XXXXX XXXXXXX 0 and is XXXXXXXXX continuous.<br>This XXX XXXX be XXXXXXXX XX looking at XXX curve.<br>XXX XXXX is continuous XX x=4. XXX, it XX not XXXXXXXXXX XX x=-X.</p>">
