Between which two ordered pairs does the graph of f (x) = 1/2x2 + x - 9 cross the negative x-axis? (-6, 0) and (-5, 0) (-4, 0) and (-3, 0) (-3, 0) and (-2, 0) (-2, 0) and (-1, 0)

Question

Alaina Carlson

Mathematics

14 June, 17:41

Between which two ordered pairs does the graph of f (x) = 1/2x2 + x - 9 cross the negative x-axis? (-6, 0) and (-5, 0) (-4, 0) and (-3, 0) (-3, 0) and (-2, 0) (-2, 0) and (-1, 0)

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Vinnie · Answer 1

Between (-6,0) and (-5,0).

Step-by-step explanation:

When it crosses the x axis, it's an x-intercept. To find the x-intercept, set y (aka f (x)) to zero. The solutions to the equation are approximately 3.36 and - 5.36. Since you're finding the negative x-intercept, you only need the negative solution - 5.36. This is in between (-6,0) and (-5,0).