Determining if the Relation is a Function
Determine whether the following relation is a function: \( \{ (1,2), (2,3), (3,4), (4,2), (5,2) \} \)
Finding the Domain and Range of the Relation
Find the domain and range of the relation \(y = \frac{1}{x}\)
Finding the Inverse of the Relation
Find the inverse of the relation \(y = 3x + 2\).
Finding the Inverse
Find the inverse of the relation \( y = 2x^3 + 3 \)
Determining if One Relation is the Inverse of Another
Determine if the relation \(y = 3x - 2\) is the inverse of the relation \(x = \frac{y + 2}{3}\).
Determining if Surjective (Onto)
Let's say we have a function \(f: R \rightarrow R\) defined as \(f(x) = 3x - 7\). Is the function surjective (onto)?
Determining if Injective (One to One)
Determine if the relation \(f(x) = 3x^2 - 2x + 1\) is injective (one-to-one).