Final answer:
The graph represents a function, as it's a straight line, which means each input value x has exactly one corresponding output value y per the Vertical Line Test. Thus, the correct answer is A. Yes, for each input value x, there is exactly one output value y.
Step-by-step explanation:
The question "Does the graph represent a function?" involves determining whether a graph depicts a relationship where each input value x is paired with exactly one output value y. To qualify as a function, this condition must be met. In other words, if you can draw a vertical line through any part of the graph and it intersects the graph at more than one point, then the graph does not represent a function. This is known as the Vertical Line Test. Based on the information provided, and confirming with Figure A1, which illustrates a graph with a constant slope and a single y-intercept, it's clear that the graph of the equation y = a + bx represents a function. This is because it's a straight line, and for each input value x, there is exactly one corresponding output value y. Thus, the correct answer is A. Yes, for each input value x, there is exactly one output value y.