A function has an initial value of-1 and a slope equal to 3. Choose the sketch of a graph that exhibits the qualitative features of the function.
Based on the given information, the function has an initial value of -1 and a slope of 3.
The slope of a function represents the steepness of the graph. A positive slope of 3 indicates that as the x-values increase, the y-values also increase.
The initial value of -1 means that the graph starts out at y = -1 when x = 0.
Therefore, the sketch of the graph that exhibits the qualitative features of the function will have an upward sloping line (since the slope is positive) starting from y = -1 at x = 0.
The correct sketch is the one that resembles a straight line increasing at a 45-degree angle from x = 0, y = -1.