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MATH107 Quiz-5
Write solutions on a separate paper
1. Use leading term rules to identify which one describes the ends behavior of the
graph for the function f(x) = – x4 + 3x3 + 2x2 - x + 1
D
its end behavior is similar to –x4, thus both ends decrease to -
𝑥+3
2. Solve Rational Equation:
𝑥 2 −1
𝑥
=
𝑥+1
𝒙+𝟑
𝐱
=
(𝐱 − 𝟏)(𝒙 + 𝟏)
𝒙+𝟏
Multiply (x+1) on both sides,
𝒙+𝟑
= 𝐱
𝐱−𝟏
x2-x=x+3
x2-2x-3=0
(x-3)(x+1)=0
x=3
or
x = -1
x=-1 is not the solution because ...
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