In the following figure, select whether the green and red graphics are functions or not
a. both are functions
b. green is function, red is not function
c. green is not a function, red is a function
d. none is function

  C. green is not a function, red is a function

Step-by-step explanation:

A curve does not describe a functional relationship if a vertical line crosses it in more than one place. Clearly the y-axis crosses the green curve in 2 places, so it is NOT a function.

There is a very steep section at x=10 on the red curve. It we assume it is simply "very steep" and not "vertical", then the red curve IS a function. If you assume that short section is vertical, then the red curve is not a function, either. My choice is to go with "very steep," not "vertical."

My conclusion is that green is not a function; red is a function.

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step-by-step explanation:

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