Problem

Compare the zeros, \(x\text{-}\text{intercepts}\), and \(y\text{-}\text{intercepts}\) of \(f(x)~=~x~+~4\) with graph \(g\), whose \(y\text{-}\text{intercept}\) is \((0,~4)\) and \(x\text{-}\text{intercept}\) is \((-4,~0)\). State whether the intercept data alone establish global equality.

Line x plus 4 and a distinct supplied graph sharing intercepts negative 4 comma 0 and 0 comma 4.

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Both have zero −4, x-intercept (−4, 0), and y-intercept (0, 4). That establishes global equality unless g is also known to be the same linear function.

Both have zero 4, x-intercept (4, 0), and y-intercept (0, 4). That does not establish global equality unless g is also known to be the same linear function.

Both have zero −4, x-intercept (−4, 0), and y-intercept (0, −4). That does not establish global equality unless g is also known to be the same linear function.

Both have zero −4, x-intercept (−4, 0), and y-intercept (0, 4). That does not establish global equality unless g is also known to be the same linear function.

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Compare the zeros, \(x\text{-}\text{intercepts}\), and \(y\text{-}\text{intercepts}\) of \(f(x)~=~x~+~4\) with graph \(g\), whose \(y\text{-}\text{intercept}\) is \((0,~4)\) and \(x\text{-}\text{intercept}\) is \((-4,~0)\). State whether the intercept data alone establish global equality.

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