Question

If f = {(4,3), (-1,0), (3, 1/2), (,0)} and g = { (2, -2), (-3, -2), (1/2, -2) }, find each of the following values of f and g.a. f(4)=b. g(2)=c. g(1/2) =d. f(3)=e. g(-3) =f. ( )=

Answer 1

The functions f and g are given as coordinate points.

Note that the first coordinates (x-coordinate) are the input values, while the second coordinates (y-coordinate) are the output values.

(a) Hence the coordinate point (4,3) of f(x) implies that:

$f(4)=3$

(b) The coordinate point (2,-2) of g(x) implies that:

$g(2)=-2$

(c) The point (1/2,-2) of g(x) implies that:

$g(\frac{1}{2})=-2$

(d) The coordinate point (3,1/2) of f(x) implies that:

$f(3)=\frac{1}{2}$

(e) The coordinate point (-3,-2) of g(x) implies that:

$g(-3)=-2$

(f) The coordinate point (π,0) of f(x) implies that:

$f(\pi)=0$