Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
2 answers:
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Answer: Option C is the correct graph.
Explanation:
An odd function satisfies the condition,
This indicates that for any point (x,y) on the graph, the point (-x,-y) will also be present.
Why Option C is correct:
Option C includes the point (1,2), which implies the point (-1,-2) must be present.
Indeed, (-1,-2) is among the points.
Other pairs like (2,3) with (-2,-3), (3,-1) with (-3,1), and (4,0) with (-4,0) are also found. Hence, the function represented is odd.
Why other options are incorrect:
In Option A, (1,3) is given, so at x = -1, y should be -3, but instead y = 1, so it’s not odd.
Option B has (1,0), so at x = -1, y should be 0, but y = -3, so it is not odd.
Option D features (1,-1), meaning at x = -1 y should be 1; however, y = -1, so it's not odd.