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Pre-Calculus# MTH1331.Use the graph of f(x) = x2 to match the function

**Submitted:** 5 years ago.**Category: **Pre-Calculus

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MTH133 1.Use the graph of f(x)...

MTH133

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

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)= x^2/x+12

Answer:

Show Work or Explain in Words:

C) f(x)=10x^2+19x-5

Answer:

Show Work or Explain in Words:

d) g(x)=15/x

Answer:

Show Work or Explain in Words:

e) f(x)+√x-15

Answer:

Show Work or Explain in Words:

2.Asymptotes of Rational Functions

a.Provide a written explanation describing a step by step process to find the horizontal asymptotes of a rational function

Answer

b.Provide a written explanation describing a step process to find the vertical asymptotes of a rational function

Answer

Show Work or Explain in Words:

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

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)= x^2/x+12

Answer:

Show Work or Explain in Words:

C) f(x)=10x^2+19x-5

Answer:

Show Work or Explain in Words:

d) g(x)=15/x

Answer:

Show Work or Explain in Words:

e) f(x)+√x-15

Answer:

Show Work or Explain in Words:

2.Asymptotes of Rational Functions

a.Provide a written explanation describing a step by step process to find the horizontal asymptotes of a rational function

Answer

b.Provide a written explanation describing a step process to find the vertical asymptotes of a rational function

Answer

Show Work or Explain in Words:

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