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The solutions of the equation $x^2 - x - 2 = 0$ are $x = -1$ and $x = 2$ - Junior Cycle Mathematics - Question 8(b) - 2018

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Question 8(b)

The-solutions-of-the-equation-$x^2---x---2-=-0$-are-$x-=--1$-and-$x-=-2$-Junior Cycle Mathematics-Question 8(b)-2018.png

The solutions of the equation $x^2 - x - 2 = 0$ are $x = -1$ and $x = 2$. The table below shows three graphs, A, B, and C. One of these is the graph of the function ... show full transcript

Worked Solution & Example Answer:The solutions of the equation $x^2 - x - 2 = 0$ are $x = -1$ and $x = 2$ - Junior Cycle Mathematics - Question 8(b) - 2018

Step 1

Justification:

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Answer

The correct answer is A.

Justification: Graph A is the only one that crosses the y-axis at -2, corresponding to f(0)=2f(0) = -2.

Graph B does not cross at y=2y = -2 and Graph C also fails to meet the condition as it incorrectly identifies the roots of the equation.

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