Functions Practice
Feed the machine: evaluate, tabulate, find domains, zeros, and intercepts, and chain functions together.
1 Practice
Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss earns another hint; a third miss walks you through the full solution.
2 What you’ll practice
Every problem is generated fresh from templates across several question types — a problem never repeats until its whole pool is used up.
Evaluate
f(x) at a number.
Table values
Fill f(x) = ax² + bx + c.
Zeros
Where is f(x) = 0?
x-intercepts
Factorable quadratics.
y-intercept
Just f(0).
Domain
1/(x−a) and √(x−a).
Composition
Inside out: f(g(t)).
3 Watch out for these
The three mistakes students make most often on these problems.
f(3) is the output at input 3 — never “f times 3”.
x = a is forbidden for 1/(x−a); x < a is forbidden for √(x−a).
(f∘g)(x) = f(g(x)): compute g first.