Question

Let A= { 5, 6, 7, 8 }; B = { -11, 4, 7, -10, -7, -9, -13 } and $f=\left\{\right(x,y):y=3-2x,xϵA,yϵB\}$
(i) Write down the elements of $f$. (ii) What is the co-domain?
(iii) What is the range ? (iv) Identify the type of function.

Answer 1

$\left(i\right)f=${$(5,-7),(6,-9),(7,-11),(8,-13)$}

$\left(ii\right)co-domain=$ {$-11,4,7,-10,-7,-9,-13$}

$\left(iii\right)range=$ {$-7,-9,-11,-13$}

$\left(iv\right)$ The function is $one-one$