# Math 133 Unit 4 Individual Project 2b

MTH133 Unit 4– Individual Project – B

1. Graphing Transformations
a) Given the function f(x) = sqrt(x) complete the following table. Must show all work for full credit.

see attached file

b) Using the table from part a, graph the function f(x) = sqrt(x) . For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List.

c) Given the function f(x) = sqrt(x+1) complete the following table. Must show all work for full credit.

see attached file

d) Using the table from part c, graph the function f(x) = sqrt(x+1). For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List.

e) Given the graph of y=f(x) describe in words the transformation of y=f(x+1).

2) Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations for full credit.
a) f(x) = 3x - 1

b) g(x) = sqrt(x+5)

c) f(x) = 16x / (x^2 + 9)

d) g(x) = 13x^2 – 5x + 9

e) f(x) = 6 / (x-5)

3. Finding equations of asymptotes of rational functions. Recall that asymptotes are lines therefore the answer must be given as an equation of a line.

a) Find the equations of both the horizontal and vertical asymptotes of the rational function f(x) = (5x – 1) / (x^2 + 9)

b) Find the equations of both the horizontal and vertical asymptotes of the rational function f(x) = (2x^2 + 8) / (x – 1)

c) Given the graph of a rational function find the equations of both the vertical and horizontal asymptotes.

see attached file

d) In words explain what an asymptote is.

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MATH133_U4IP2b.pdf

Subjects: Algebra
Topic: MATH133, MATH133_U4IP2b
Level: College/ University
Tags:

### American InterContinental University, AIU, MATH133, MATH133_U4IP2b

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Question Files
MATH133_U4IP2b.pdf

Subjects: Algebra
Topic: MATH133, MATH133_U4IP2b
Level: College/ University
Tags:

## American InterContinental University, AIU, MATH133, MATH133_U4IP2b

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