Quartic Graph Sketching

Quartic Graph Sketching is based on their concavities and x-intercepts to determine the basic shape of the quartic graphs.

Sketch the graph of \( y=(x-1)(x+1)(x+2)(x-3) \).

Sketch the graph of \( y=x(x^2-x)(x-2)(x+3) \).
\( =x(x-1)(x-2)(x+3) \)

Sketch the graph of \( y=x^2(x-3)(x+3) \).

Sketch the graph of \( y=(x+1)^2(x-2)^2 \).

Sketch the graph of \( y=-(x-1)(x+2)^2(x-3) \).

Sketch the graph of \( y=(1-x)^2(x+2)(x-3) \).

Sketch the graph of \( y=(x-1)(x+2)(x-3)^2 \).

Sketch the graph of \( y=(x-2)^3(x+2) \).

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