Graph of f(x)=((x-2)^4) - 1

As in example from the manual book, we need to draw a graph of f(x) = (x-2)⁴ - 1. Below, is the graph.

Discussion:

y-intercept = (0,15)

x-intercept = (1,0) and (3,0)

Relative minimum: (2,-1).

Inflection point = None because there is no point at where the function change the behavior from concave upward to downward or vice versa.

Increasing interval: (2,3) and (3,∞)

Decreasing interval: (-∞,1) and (1,2)

Concave upward: (-∞,1), (1,2), (2,3) and (3,∞)

Concave Downward: None