I have a graph which is graphed by the equation f(x) = |x| - 4 and I'm asked to find the solution to the equation f(x) = 0. What would the solution be?

The solution to f(x)=0 is always the values of x where the graph crosses the

x-axis, usually called the x-intercepts. Your graph is a V-shaped graph that crosses the x-axis at x=-4 on the left and at x=4 on the right. So they are the solutions to f(x)=0. Answers: x=-4 and x=+4

Edwin