### Thinking about Functions

Package of problems

# Inequality flip-flop Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Warm-up

Can you think of examples of the following?

• a number less than $3$ whose square is greater than $9$

• a number whose cube is larger than $27$

• a number whose reciprocal is smaller than $\dfrac{1}{3}$

One way to think about questions like these is to think about functions. Which functions are involved here and what do their graphs look like?