Question

consider f(x)= 9-e^x
Find the slope of the graph of f(x) at the point where the graph crosses the x-axis.
1-slope=?

Answer 1

In the function y = ax + b, a is the slope.

Graph crossing x-axis is finding the roots of a function (where y = 0). Find roots by taking the derivative and equate the derivative to zero: solve f'(x) = 0.
The x you'll find is the x of the x-axis crossing. Now use y = ax + b, y =0 and x is what you just calculated, then find a.

Answer 2

-8.99996