The given cubic function is y = 4x^3 - 3.
End behavior:
The leading term in the function is 4x^3, which means that as x approaches positive infinity, the function also approaches positive infinity. And as x approaches negative infinity, the function approaches negative infinity. This indicates that the graph of the cubic function will have opposite end behavior on either side of the y-axis.
Number of turning points:
Since the degree of the polynomial is 3, we expect there to be 3 turning points on the graph of the cubic function.
Describe the shape of the graph of the cubic function by determining the end behavior and number of turning points.
y=4x^3-3
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