Question

Let f be the function from {a, b, c, d} to {1, 2, 3} defined by f(a) = 3, f(b) = 2, f(c) = 1, and f(d) = 3. Is f an onto function?

Answer 1

Answer on Question #75634 – Math – Discrete Mathematics

Question

Let $f$ be the function from $\{a, b, c, d\}$ to $\{1, 2, 3\}$ defined by $f(a) = 3$, $f(b) = 2$, $f(c) = 1$, and $f(d) = 3$. Is $f$ an onto function?

Solution

Note that $f$ is an onto function because for each element in the codomain $Y = \{1, 2, 3\}$ there exists at least one element in the domain $X = \{a, b, c, d\}$ such that $f(x) = y$.

Answer: $f$ is an onto function.

Answer provided by https://www.AssignmentExpert.com