Subjects algebra

Function Domain Range 8E60Bc

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1. The problem asks to analyze three graphs and determine if each represents a function, and to find their domain and range. 2. For graph 4: - (a) It is a function because the graph passes the vertical line test (each x-value has only one y-value). - (b) Domain: The x-values start near -9 and go to about 8, so domain is approximately $[-9, 8]$. - (c) Range: The y-values start near -3 and go up to about 9, so range is approximately $[-3, 9]$. 3. For graph 5: - (a) It is a function because it passes the vertical line test. - (b) Domain: Given as $[-6, 4]$. - (c) Range: Given as $[-9, 7]$. 4. For graph 6: - (a) It is not a function because it is an ellipse, which fails the vertical line test (some x-values correspond to two y-values). - (b) Domain: Given as $[-8, 5]$. - (c) Range: Given as $[-5, 8]$. Final answers for graph 4: - Function: Yes - Domain: $[-9, 8]$ - Range: $[-3, 9]$