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MATH 133 Unit 4 Individual Project A

Question # 00007563
Subject: Mathematics
Due on: 03/31/2014
Posted On: 01/31/2014 12:20 PM

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1. Use the graph off(x)= x^2to 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 y = x^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)

Tags project individual unit math function asymptotes vertical graph andhorizontal answer specifiedasymptotes sqrt4x following showthe words functions calculationsa 4x27x linestherefore ofthe horizontal asymptoteof asymptote linea explain given equation recall interval transformation occurs shifted6 units inwords

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MATH/133 Unit 4 Individual Project A

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