Problem page

the owners of a recreation area are filling a small pond with water. let
w

be the total amount of water in the pond (in liters). let
t

be the total number of minutes that water has been added. suppose that
=
w
+
25
t
500

gives
w

as a function of
t

during the next
80

minutes.
identify the correct description of the values in both the domain and range of the function. then, for each, choose the most appropriate set of values.

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

c

step-by-step explanation:

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.