Analyzing a Function Set your calculator to DOT mode and graph the greatest integer…
MATHEMATICS · Multi-part · AoPS · Mathematics · Special Functions · Special Functions
Problem
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:
(1) Domain:
(2) Range:
(3) Continuity:
(4) Increasing/decreasing behavior:
(5) Symmetry:
(6) Boundedness:
(7) Local extrema:
(8) Horizontal asymptotes:
(9) Vertical asymptotes:
(10) End behavior: