Domain, Range, End Behavior
Domain: the set of x-values for a function
Range: the set of y-values for a function
End Behavior: how the graph of a function
behaves as it moves farther to the left and right
(toward infinity)
Domain: (-∞, ∞)
Range: (-∞, ∞)
End behavior:
As x → -∞ , f(x) → ∞
As x → ∞ , f(x) → -∞
Range for the domain
0 < x ≤ 6: [1, 5)
Domain: (-∞, ∞)
Range: (0, ∞)
End behavior:
As x → -∞ , f(x) → ∞
As x → ∞ , f(x) → 0
Range for the domain
-3 ≤ x ≤ 1: [0.5, 8]
Domain: (-∞, 2)U[3, ∞)
Range: (0, ∞)
End behavior:
As x → -∞ , f(x) → ∞
As x → ∞ , f(x) → 1
Range for the domain
0 < x < 2: (0, 2)
Domain: {-2, 0, 1, 3, 7}
Range: {-4, -3, 2, 8}
End behavior:
Unknown
x
-2
0
1
3
7
f(x)
-4
2
8
-3
2
Homework
Questions 5 – 15 from section 1.1 Domain,
Range, and End Behavior in textbook