Read inverse from graph or table

What you'll learn

1. Read f⁻¹(b) from a table of f by finding the row where f(a) = b and reporting a
2. Read f⁻¹(b) from a graph of f by finding the point where y = b on the graph and reading the corresponding x-value
3. Construct a table of f⁻¹ by swapping the input and output columns of a table for f
4. Sketch the graph of f⁻¹ by reflecting the graph of f over y = x
5. Determine whether the inverse function exists from the table or graph (no repeated outputs)
6. Interpret inverse values in context: if f(t) gives population at time t, then f⁻¹(P) gives the time when population reaches P

Prerequisites

• Solve for inverse function