The graph lying in first quadrant and graph of horizontal line lying in the fourth quadrant are representing functions.
A function is such type of mapping which strictly has one and only one value corresponding to each input given to the function.
The graph of first quadrant satisfies the condition of a mapping being a function.
The second quadrant contains a graph of parabola but as it is visible, the graph has two values for each input x it takes from -3 to -6. Example: At x = -6, the function outputs y = 2 and y = 5 two values. Thus it is NOT a function.
The third quadrant contains similar graph which also doesn't satisfy the single output constraint. Example, at x = -1, it outputs y = -2 and y = -6 both. Thus its NOT a function.
The fourth quadrant has a graph of two lines. First line is horizontal and has only one value to each x it allows as valid input. Thus it represents a function.
In the same fourth quadrant lies another line but that is vertical. For value x=4. it has several values of y. Thus its NOT a function either.
Thus the graph lying in first quadrant and graph of horizontal line lying in the fourth quadrant are representing functions.
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