Essay on "Individual Project Use the Graph"
Essay 2 pages (751 words) Sources: 2
[EXCERPT] . . . .
d) g (x) = 2x / (x-3)Answer: x for all values except 3
Show Work or Explain in Words: The function g (x) becomes undefined when x -- 3 = 0. Consequently, x -- 3 = 0 when x = 3. Therefore, the function is continuous for all values of x except x = 3. The domain then stands that x = all real numbers EXCEPT 3.
e) f (x) = 3x -- 9
Answer: x is all real numbers
Show Work or Explain in Words: There is no instance where the function f (x), a line function, becomes undefined. It stands that all values of x is continuous. Thus the domain of f (x) is where x encompasses the value of all real numbers.
3) Find the specified asymptotes of the following functions. Recall that asymptotes are lines therefore the answer must be given as an equation of a line.
a) Find the equation of the vertical asymptote of the function f (x) = 4 / (x+5)
Answer: x = -5
Show Work or Explain in Words: The vertical asymptote of the function f (x) is where the function is undefined. Therefore, x + 5 = 0, where x = -5.
b) Find the equation of the horizontal asymptote of the function g (x) = (5x^2 -- 4) / (x+1)
Answer: There are no horizontal asymptotes.
Show Work or Explain in Words: For the equation g (x), because the numerator has a bigger exponent than the denominator, the function will display a slant asymptote, not a horizontal one.
c) Find the equations of both the vertical and horizontal asymptotes of the function f (x) = (3x -- 1) / (x+4)
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Vertical: x = -4
Horizontal: y = 3
Show Work or Explain in Words: The vertical asymptote can be determined by finding the undefined values of f (x), which is where x+4 = 0. So the vertical asymptote is where x = -4. The horizontal asymptote can be found by using the method of ratio of the powers, in this case 3x/x or 3/1 = 3. So the function gets closest to 3 on the horizontal… READ MORE
Quoted Instructions for "Individual Project Use the Graph" Assignment:
“unit 4 IP-2 MATH 133-1101B-03
How to Reference "Individual Project Use the Graph" Essay in a Bibliography
“Individual Project Use the Graph.” A1-TermPaper.com, 2011, https://www.a1-termpaper.com/topics/essay/individual-project-use-graph-f/5342283. Accessed 4 Oct 2024.
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