functions and relations ass

1)

2)

Assessment State whether each of the following is a relation or a function by drawing Venn diagrams. Also state the Domain and Range of each: a) {(x ; 1) ; (y ; 2) ; (z ; 3)} b)

x  { -2; -1; 0; 1; 2} and y = 3x, y  Z .

c)

{(-4; -3) ; (-3; -2) ; (-2; -1) ; (-1; 0)}

d)

{(2; 5) ; (2; 6) ; (3; 7) }

e)

{(a; 7) ; (b; 7) ; (c ; 7) ; (d ; 7)}

f)

{(1 ; 2) ; (2 ; 2) ; (3 ; 2) ; (4; 2)}

g)

x  R; y = 2x; y  {5; 6; 7; 8; 9}

h)

y = 2x² - 3, x  R and y  R.

i)

y = - x – 3, x  N and y  Z .

j)

y > x, x  R and y  R.

Determine whether the following graphs are functions

Functions