Question

Given the graph of the function f(x) construct the slope field to sketch the graph of the anti derivative F(x) that passes through the point (0,-1)

Answer 1

is the deriative graph.

Answer 2

how do i make a slope field?

Answer 3

@skay here is what we do. We draw a graph with x and y the top graph is the slope, the number you pick off is the slope, so at x=0, the slope is zero a line with a slope of zero is a horizontal line. We sketch in the start of a set of lines with a slope of zero along the y-axis.

then at x=1, the slope is 1, that is a 45 degree line
we put in a little piece of line at 45 degrees