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What is the distance between the x-intercepts of the graph \(y=|x|-2\)?

Answer and explanation

Correct answer: 4

To find the x-intercepts, set \(y=0\): \(|x|-2=0\), so \(|x|=2\) and \(x=\pm2\). Thus, the intercepts are \((-2,0)\) and \((2,0)\), and the distance between them is \(2-(-2)=4\) units. The value 2 represents the distance of each intercept from the origin, not the distance between the intercepts. Exam tip: Set \(y=0\) whenever you need to find x-intercepts.

Related tags

GraphsAbsolute Value FunctionsX-InterceptsGraphs Of Standard FunctionsRelations And FunctionsMathematicsClass 11 Mcq

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