APFIVE Slope Field Representation
Which of the following is an example of a slope field representation for the differential equation $$\frac{dy}{dx}=x$$?
| x | Slope (dy/dx) |
|---|---|
| -2 | -2 |
| -1 | -1 |
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
A
A table listing x-values and their corresponding slopes, e.g., x = -2 gives slope -2, x = -1 gives slope -1, x = 0 gives slope 0, x = 1 gives slope 1, and x = 2 gives slope 2.
B
A graph of the function $$y=x^2$$, which does not depict slope information.
C
A numerical list of y-values without any reference to slopes.
D
An equation stating $$\frac{dy}{dx}=1$$, implying constant slopes independent of x.