Mathematics - Algebra MTH133 Unit 4– Individual Project – A

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).

Graph of ^2

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) graph

b) graph

c) graph

d) graph

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) 2x/(x – 3)

e) f(x) = 3x – 9

3) 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 vertical asymptote of the function f(x) = 4/ (x + 5)

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

c) Find the vertical and horizontal asymptotes of the function f(x) = (3x – 1)/(x + 4)

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

You can have a successful and fun college experience. The advice shared here, if used, can ensure that your time spent being educated is one that you will like and one that will help ensure you are ready for your future career. College really can be a great experience.

This work comprises MATH 209 Week 2 Individual Textbook Solutions

Mathematics - Algebra MTH133 Unit 4– Individual Project – A

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).

Graph of ^2

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You can have a successful and fun college experience. The advice shared here, if used, can ensure that your time spent being educated is one that you will like and one that will help ensure you are ready for your future career. College really can be a great