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Review the findings: The zoomed-in image shows the graph for problem 9. It is a parabola that opens upwards, with its vertex at (0, -1). The graph extends infinitely to the left and right, meaning the domain is all real numbers. The lowest y-value is -1, and the graph extends infinitely upwards, so the range is all y-values greater than or equal to -1.
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Next, find information: I have now analyzed all five graphs from problems 5 through 9. I will synthesize the findings for each one to provide the final answer.
Based on the analysis of the graphs in problems 5 through 9:
Problem 5:
- Domain: x > 0
- Range: y ≤ 3
Problem 6:
- Domain: x ≥ -3
- Range: y ≥ 1
Problem 7:
- Domain: -2 ≤ x ≤ 1
- Range: -1 ≤ y ≤ 3
Problem 8:
- Domain: -3 < x < 3
- Range: -2 ≤ y < 1
Problem 9:
- Domain: All real numbers
- Range: y ≥ -1
Parent Tip: Review the logic above to help your child master the concept of finding domain and range of a graph worksheet.