Which input value produces the same output value for the two functions on the graph?

The input value yielding the same output for both graphed functions is . Choice (b) is the correct answer.

Explanation:

Here are the options:

(a)

(b)

(c)

(d)

Output values correspond to the range of a function, while input values constitute its domain.

A one-to-one function assigns a unique domain value to each range element.

The functions are depicted as . From the graph, the two lines intersect at .

Therefore, the input that produces identical outputs is , confirming that option (b) is correct.

This question is essentially asking for the x-coordinate where the two graphed functions intersect. The intersection point corresponds to the input value for which both functions yield the same output. Among the options given, the correct choice is the second one, with x = -2 being the input value that results in identical outputs for both functions. I hope this clarifies your question.