Understanding Functions (Set 2) Worksheet

Sample problems

A function assigns exactly one output to each input. Decide whether each relation is a function, evaluate functions at given inputs, solve for an input, and compare functions given in different forms.

1. 1. Does the set of ordered pairs $\{(0,2),(1,4),(2,6),(3,8)\}$ represent a function? Explain.
2. 2. Does the set $\{(4,1),(5,2),(4,3),(6,5)\}$ represent a function? Explain.
3. 3. Which mapping represents a function?
   • $5\to p,5\to q,6\to r$
   • $5\to p,6\to p,7\to q$
   • $5\to p,5\to q,7\to r$
   • $8\to p,8\to q$
4. 4. The function is given by $f(x)=4x-5$. Find $f(3)$.

Plus 10 more problems and a full answer key in the PDF.