# Math 133 Unit 4 Individual Project 2a

MTH133 Unit 4 – Individual Project 2

1. Use the graph of f(x) = x^2 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).

see attached file

Choose from the following functions:
g(x) = (x – 2)^2 ; h(x) = x^2 – 2 ; i(x) = (x + 3)^2 ; j(x) = (x + 1)^2 + 3
a) see attached file
b) see attached file
c) see attached file
d) see attached file

2. Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations.

a) f(x) = 4x^2 – 7x + 3

b) g(x) = 10 / (x+7)

c) f(x) = sqrt(4x-16)

d) g(x) = 2x / (x-3)

e) f(x) = 3x - 9

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: 5f(x) = 4 / (x+5)

b) Find the equation of the horizontal asymptote of the function: g(x) = (5x^2 – 4) / (x+1)

c) Find the equations of both the vertical and horizontal asymptotes of the function:
f(x) = (3x-1) / (x+4)

d) Find the equations of both the vertical and horizontal asymptotes of the function:
g(x) = (x+7) / (x^2 – 4)

Show Work or Explain in Words:

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Question Files
MATH133_U4IP2a.pdf

Subjects: Algebra
Topic: MATH133, MATH133_U4IP2a
Level: College/ University
Tags:

### American InterContinental University, AIU, MATH133, MATH133_U4IP2a

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Question Files
MATH133_U4IP2a.pdf

Subjects: Algebra
Topic: MATH133, MATH133_U4IP2a
Level: College/ University
Tags:

## American InterContinental University, AIU, MATH133, MATH133_U4IP2a

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