QUESTION IMAGE
Question
answer
it is positive and increasing
it is positive and decreasing
it is negative and increasing
it is negative and decreasing
Step1: Analyze y - value sign
The graph is below the x - axis (since the arrows at the ends of the curve are going down and the part of the curve we are considering is below the x - axis), so the function value (y - value) is negative.
Step2: Analyze increasing/decreasing
To determine if the function is increasing or decreasing, we look at the slope of the tangent (or the direction of the curve). As we move from left to right (increasing x), the curve is going from a lower (more negative) value to a less negative value (or moving upwards). So the function is increasing (since as x increases, y is increasing from a more negative to a less negative value, which means the function's value is getting closer to zero, so it's increasing).
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It is negative and increasing