Questions: -4 ≤ x ≤ 1 4 ≤ ẏ ≤ 1

Transcript text: $-4 \leqslant x \leqslant 1$ $4 \leqslant \dot{y} \leqslant 1$

Solution

Solution Steps

Step 1: Find the Domain of function 13

The domain represents the set of all possible x-values. In the graph, the line starts at x = -4 and extends to x = 4. Both endpoints are included as indicated by the closed circles.

Step 2: Find the Range of function 13

The range represents the set of all possible y-values. In the graph, the line extends from y = -1 to y = 4. Both endpoints are included.

Step 3: Find the Domain of function 14

The discrete points exist at x = -3, -2, 0, and 3.

Step 4: Find the Range of function 14

The discrete points exist at y = 2, 1, and 0.

Step 5: Find the Domain of function 15

The domain is x = -3, -1, 0, and 1.

Step 6: Find the Range of function 15

The range is y= 0, -1, -2, and -3.

Final Answer:

13. Domain: -4 ≤ x ≤ 4; Range: -1 ≤ y ≤ 4 14. Domain: {-3, -2, 0, 3}; Range: {0, 1, 2} 15. Domain: {-3, -1, 0, 1}; Range: {-3, -2, -1, 0}

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