Problem

Use the graphs and equations to compare \(L(x)~=~x~-~2\) and \(Q(x)~=~x^{2}~-~4\). State their zeros, rate behavior, extrema, and key contrast.

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L = linear with zero x=2, constant slope 1, minimum (0,-2); Q = quadratic with zeros x=-2 and x=2, no extremum, constant rate; contrast = L turns while Q does not

L = linear with zero x=2, constant slope 1, no extremum; Q = quadratic with zeros x=-2 and x=2, minimum (0,-4), changing rate; contrast = L has one zero and constant rate while Q has two zeros and a turn

L = linear with zero x=2, constant slope 1, no extremum; Q = linear with zeros x=-2 and x=2, constant slope 1, no extremum; contrast = both are linear because both cross the x-axis

L = linear with zeros x=-2 and x=2, constant slope 1, no extremum; Q = quadratic with zero x=2, minimum (0,-4), changing rate; contrast = L has two zeros while Q has one

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Use the graphs and equations to compare \(L(x)~=~x~-~2\) and \(Q(x)~=~x^{2}~-~4\). State their zeros, rate behavior, extrema, and key contrast.

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