Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

algebra senior

Problem

The graphs of four functions, labelled (2) through (5), are shown below. Note that the domain of function (3) is Find the product of the labels of the functions which are invertible.
problem
Solution
The graphs labelled (3), (4), and (5) are all invertible since no horizontal line intersects the graph in more than one place. In other words, for each real number there is at most one real number with . The first graph does not satisfy this condition. Thus the product of the labels corresponding to invertible functions is .
Final answer
60