To graph the equation y = –x³ + 3x, we use point-by-point plotting to obtain the graph in Figure 4.

(A) Do you think this is the correct graph of the equation? Why or why not?

(B) Add points on the graph for x = –2, –1.5, –0.5, 0.5, 1.5, and 2.

(C) Now, what do you think the graph looks like? Sketch your version of the graph, adding more points as necessary.

(D) Graph this equation on a graphing calculator and compare it with your graph from part (C).

Transcribed Image Text:

X -1 1 y -2 0 2 Figure 4 -5 5 X