Answer:
The domain is all real numbers.
The range is all real numbers.
The graph crosses the y axis once.
The graph increases from negative infinity to positive infinity.
Step-by-step explanation:
The graph crosses the axis when x = 0:
y(0) = (0 - 3)^3 + 1
= -27 + 1
= -26 so it crosses y-axis at (0, -26) only.
Point where it crosses the x axis is when y = 0:
(x - 3)^3 + 1 = 0
(x - 3)^2 = -1
x-3 = cube root of -1 = -1
x = 2. It only crosses the x axis once at (2, 0>
