Assessment: Functions
Answer every question, then submit to see your score and which topics to review.
Part A — Concept Questions
What is A × B?
EasyWhat makes a relation a function?
EasyPart B — Formula & Application
If n(A) = 8 and n(B) = 3, what is n(A × B)?
MediumIf f(x) = 3x² − x, find f(2).
MediumPart C — Problem Solving
What is the domain of the relation {(2,5), (4,5), (6,9)}?
MediumWhat value of x must be excluded from the domain of h(x) = 1/(x − 8)?
MediumPart D — Real-Life Application
A vending machine sometimes dispenses a different snack for the same button press. Is "button pressed → snack dispensed" a function?
MediumA sensor's time-vs-reading graph shows two different readings recorded at exactly the same time. What does the vertical line test say about this graph?
MediumPart E — Challenge
If f(x) = x² − 4x + 7, find f(a+1) when a = 2 (i.e. find f(3)).
HardSet A has 4 elements. How many elements does A × A have?
Hard0/10 answered