Evaluating a function over the rows of a matrix

Question

I performed quite a search, and I am unable to find a quick solution to the following problem.

I have a $p \times q$ matrix $c$, say

c = {{1 , 3}, {3, 4}}

and function $f$, $\mathbb{R}^q \to \mathbb{R}$ say

f (x_, y_) := x + y

how to elegantly evaluate the function on the matrix's rows, $f[c_{11},c_{12}]$, $f[c_{21},c_{22}]$ and so on?

Thanks a lot