Quartic Graph Sketching

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

Question 1 of Quartic Graph Sketching

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

Question 2

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

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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