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Open Question: Functions and Their Graphs?

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Jojo W Member since:April 21, 2011Total points:95 (Level 1)1. Use the graph of f(x) = x2 to match the function to its corresponding graph. In words describe the transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).
f(x) = x2
Choose from the following functions:
g(x) = (x – 2)2 ; h(x) = x2 – 2 ; i(x) = (x + 3)2 ; j(x) = (x + 1)2 + 3
a)
Answer:
Function:
Description of transformation:
b)
Answer:
Function:
Description of transformation:
c)
Answer:
Function:
Description of transformation:
d)
Answer:
Function:
Description of transformation:
2. Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations.
a) f(x) = 4x2 – 7x + 3
Answer:
Show Work or Explain in Words:
b) g(x)=10/x+7
Answer:
Show Work or Explain in Words:
c) f(x)=/4x-16
Answer:
Show Work or Explain in Words:
d) g(x)=2x/x-3
Answer:
Show Work or Explain in Words:
e) f(x) = 3x - 9
Answer:
Show Work or Explain in Words:
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:
Show Work or Explain in Words:
b) Find the equation of the horizontal asymptote of the function: g(x)=5x^2-4/x+1
Answer:
Show Work or Explain in Words:
c) Find the equations of both the vertical and horizontal asymptotes of the function: f(x)=3x-1/x+4
Answer:
Vertical:
Horizontal:
Show Work or Explain in Words:
d) Find the equations of both the vertical and horizontal asymptotes of the function: g(x)=x+7/x^2-4
Answer:
Vertical:
Horizontal:
Show Work or Explain in Words:Answer Question

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