Find Domain Range and Function | PDF | Domain Of A Function ... - Free Printable

Looking at Graph 9, I can see it's a piecewise linear graph with both open and closed circles.

The graph has:
- A solid point at (-5, 1)
- An open circle at (-3, -2)
- A solid point at (0, -1)
- An open circle at (2, 1)

The domain is the set of all x-values from -5 to 2, but since there are open circles at x = -3 and x = 2, we exclude those points: [-5, -3) ∪ (-3, 2)
The range is the set of all y-values from -2 to 1: [-2, 1]

To determine if this is a function, I apply the vertical line test. For any x-value in the domain, there is only one corresponding y-value. The open circles at (-3, -2) and (2, 1) mean those points are not included, but for every other x-value in the domain, there's exactly one y-value. So this graph passes the vertical line test and is a function.

Since the graph consists of connected line segments, it is continuous.

Now I'll summarize all the answers:

Graph 1:
- Domain: {-3, 0, 1, 4, 5, -2}
- Range: {-4, -2, 0, 3, 4}
- Function: Yes
- Type: Discrete

Graph 2:
- Domain: [-3, 3]
- Range: [-4, 3]
- Function: No

Graph 3:
- Domain: (-4, 5]
- Range: [0, 3]
- Function: Yes
- Type: Continuous

Graph 4:
- Domain: [-2, 2]
- Range: [-2, 2]
- Function: No

Graph 5:
- Domain: (-∞, ∞)
- Range: (-∞, ∞)
- Function: Yes
- Type: Continuous

Graph 6:
- Domain: (-∞, ∞)
- Range: [-5, ∞)
- Function: Yes
- Type: Continuous

Graph 7:
- Domain: [0, ∞)
- Range: (-∞, ∞)
- Function: No

Graph 8:
- Domain: (-∞, 0) ∪ (0, ∞)
- Range: {2}
- Function: Yes
- Type: Continuous

Graph 9:
- Domain: [-5, -3) ∪ (-3, 2)
- Range: [-2, 1]
- Function: Yes
- Type: Continuous