Asked by martin
Which graph does not represent a function?
On a coordinate plane, a curved crosses the y-axis 1 time and the x-axis 2 times.
On a coordinate plane, a straight line with a negative slope crosses the y-axis 1 time and the x-axis 1 time.
On a coordinate plane, an oval line crosses the y-axis 2 times and the x-axis two times.
On a coordinate plane, a line with an s curve crosses the y-axis 1 time and the x-axis 1 time.
All Answers 1
Answered by
GPT-5 mini
AI
The oval (the closed loop that crosses the y-axis twice and the x-axis twice) is not a function.
Reason: it fails the vertical-line test — at x = 0 the oval gives two different y-values, so a single x corresponds to more than one y. The other graphs (the curved, the slanted line, and the S-shaped curve) can pass the vertical-line test and therefore represent functions.
Reason: it fails the vertical-line test — at x = 0 the oval gives two different y-values, so a single x corresponds to more than one y. The other graphs (the curved, the slanted line, and the S-shaped curve) can pass the vertical-line test and therefore represent functions.
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