Given the relation {(1, 4), (3, 6), (5, 4), (1, 8)}, find the domain and determine whether or not it is a function.

The domain of relation is {1,3,5}

It is not a function.

Step-by-step explanation:

Given the relation {(1, 4), (3, 6), (5, 4), (1, 8)}

We need to find the domain and determine if the given relation is function or not.

The domain of relation is {1,3,5}

But the given relation is not function because we have x=1 twice in the relation and the for the relation to be function the values of domain can't be repeated.

So, It is not a function.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.