Problem

For \(p(x)~=~2x~-~5\) and table \(q\) with points \((0,~-1)\), \((1,~1)\), and \((2,~3)\), compare the observed rates and values at \(0\), state whether the functions are identical, and limit any claim about \(q\) outside the table.

Values of p equals 2x minus 5 beside supplied q table values negative 1, 1, and 3.

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Analysis: p shows rate 2 while q shows rate 1 on the supplied intervals, but p(0) = −5 and q(0) = −1, so they are different. The table alone does not establish that q stays linear or keeps rate 2 outside the shown inputs.

Analysis: Both show rate 2 on the supplied intervals, but p(0) = −5 and q(0) = −1, so they are different. The table alone establishes that q stays linear or keeps rate 2 outside the shown inputs.

Analysis: Both show rate 2 on the supplied intervals, but p(0) = −5 and q(0) = −1, so they are different. The table alone does not establish that q stays linear or keeps rate 2 outside the shown inputs.

Analysis: Both show rate 2 on the supplied intervals, but p(0) = −1 and q(0) = −1, so they are different. The table alone does not establish that q stays linear or keeps rate 2 outside the shown inputs.

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For \(p(x)~=~2x~-~5\) and table \(q\) with points \((0,~-1)\), \((1,~1)\), and \((2,~3)\), compare the observed rates and values at \(0\), state whether the functions are identical, and limit any claim about \(q\) outside the table.

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