Describe the end behavior and number of turning points in the graph y = x^3 + x + 3

turning-points

#1

Describe the end behavior and number of turning points in the graph y = x^3 + x + 3.

Answer:

End behavior is always determined by the power of the function and whether that leading power is positive or negative. In this case you have a positive odd function, which means that it increases from the bottom left to the top right.
The number of turning points is determined by the equation T=n-1 where T is the number of turning points and n is the leading exponent. In this case, 3 is the leading exponent. 3-1=2 so you will have 2 turning points.