Tell whether the relation is a function.
explain.
{(−4, 0), (−3, 0), (−2, 1), (1, −2), (−3, 4)}

Step-by-step explanation:

The easiest way to tell if a relation is a function is to look at the x coordinates.  If none of them are the same in the set, then the relation is a function.  If any of the x values are used more than once in the set, it is only a relation.  This set uses -3 two times, so it is a relation.

It is not a function.  

Step-by-step explanation:

A function is a relation in which each input x has only one output y.

One visual way to tell the difference is to plot the relation and use the vertical line test.

If a vertical line for a  given value of x passes through more than one point, the relation is not a function.

We see in the diagram that the line x = -3  includes (-3,0) and (-3,4), so the relation 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.

step-by-step explanation:

b and c