How do we use graphs to solve equations?
- Solutions are always read off the x-axis
- Solutions of f(x) = 0 are where the graph of y = f(x) cuts the x-axis
- If given g(x)=0 instead (Q: “by drawing a suitable straight line”) then:
- Rearrange into f(x) = mx + c and draw the line y = mx + c
- Solutions are the x-coordinates of where the line crosses the curve
Note that solutions may also be called roots