A function has an initial value of 2 and a slope equal to −1 . Choose the sketch of a graph that exhibits the qualitative features of the function.
The sketch of a graph that exhibits the qualitative features of the function with an initial value of 2 and a slope of -1 would be a downward sloping line starting at the point (0, 2). The line would continue downwards as the x-values increase.
Here is an example of what the graph could look like:
__________
| /
2 ______|_______/
_______|________/__________ x
In this sketch, the line starts at the point (0, 2) and continues downwards as the x-values increase. The negative slope (-1) indicates that y decreases by 1 for every increase in x by 1.