Problem

Table \(f\) includes \((0,~4)\) and \((2,~0)\), while graph \(g\) has \(y\text{-}\text{intercept}\) \((0,~4)\) and \(x\text{-}\text{intercept}\) \((2,~0)\). Compare their zeros and intercepts, then state whether matching intercepts establish global equality.

Table f containing 0 comma 4 and 2 comma 0 beside graph g crossing the same intercepts.

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Both have zero 4, x-intercept (4, 0), and y-intercept (0, 4). Matching intercepts alone do not establish that the functions are identical everywhere.

Both have zero 2, x-intercept (2, 0), and y-intercept (0, 4). Matching intercepts alone establish that the functions are identical everywhere.

Both have zero 2, x-intercept (2, 0), and y-intercept (0, −4). Matching intercepts alone do not establish that the functions are identical everywhere.

Both have zero 2, x-intercept (2, 0), and y-intercept (0, 4). Matching intercepts alone do not establish that the functions are identical everywhere.

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Table \(f\) includes \((0,~4)\) and \((2,~0)\), while graph \(g\) has \(y\text{-}\text{intercept}\) \((0,~4)\) and \(x\text{-}\text{intercept}\) \((2,~0)\). Compare their zeros and intercepts, then state whether matching intercepts establish global equality.

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