**PROBLEM # 1**

I noticed that the vertex of the graph moved upward or downward when constant is added from the original equation ( y = x^2 ). And it moved left or right when the constant in x then squared.

**PROBLEM # 2**

I noticed that the minimum and maximum of the waves of the graphs changes depending on the numerical coefficient of cosine and x.

**PROBLEM # 3**

I noticed that the graph y=ln x is asymptotic to the y axis while the graph of y=e^x is asymptotic to the x axis.

**PROBLEM # 4**

**PROBLEM # 5**

**PROBLEM # 6**

**PROBLEM # 7**y > 2/3 x-4

y < (-1/5 x) +4

x > 0

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