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What are the x– and y–intercepts of the graph of y = x2 + x – 6? x–intercepts: (3, 0) and (2, 0) y–intercept: (0, 6) x–intercepts: (3, 0) and (–2, 0) y–intercept: (0, –6) x–intercepts: (–3, 0) and (2, 0) y–intercept: (0, –6) x–intercepts: (–3, 0) and (2, 0) y–intercept: (0, 6)
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The x-intercepts are the roots, and the y-intercept is where x=0. Simply solve!
First, the y-intercept. Plug in x=0 and you get 0+0-6, or -6.
Next the x-intercepts. Factoring, we have y=(x+3)(x-2). So x=-3,2. So the x-intercepts are (-3,0) and (2,0), while the y-intercept is (0,-6). So it's the third choice.
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