57. Analyzing a Function Set your calculator to DOT mode and graph the greatest integer function, y=int(x), in the window [−4.7,4.7] by [−3.1,3.1]. Then complete the following analysis.
## BASIC FUNCTION
## The Greatest Integer Function
f(x)=intx
Domain:
Range:
Continuity:
Increasing/decreasing behavior:
Symmetry:
Boundedness:
Local extrema:
Horizontal asymptotes:
Vertical asymptotes:
End behavior:
a. Domain:
b. Range:
c. Continuity:
d. Increasing/decreasing behavior:
e. Symmetry:
f. Boundedness:
g. Local extrema:
h. Horizontal asymptotes:
i. Vertical asymptotes:
j. End behavior: