Give the domain of each of the following functions in interval notation.
1 answer:
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Answer:
Step-by-step explanation:
Amount of kool - aid that the pitcher can hold = gallons
There are 6 smaller containers in which this kool - aid is to be adjusted.
Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.
To find:
The amount of kool - aid that each container can hold?
Solution:
Volume of all the smaller containers combined = Volume of the kool - aid available
Let the volume of one smaller container =
of kool - aid is the amount that each smaller can hold.
Recall that a function from a set
to a set
is a relation that assigns to each element
in the set
exactly one element in the set
. The set
is the domain (or set of inputs) of the function and the set
contains the range (or set of outputs).
The general characteristics of functions are:
a. Each element in A must be matched with an element in B.
b. Some elements in B may not be matched with any element in A.
c. Two or more elements in A may be matched with the same element in B.
d. An element in A (the domain) can not be matched with two different elements in B.
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Solving this problem we have:
1. The mapping diagram is represented in Figure 1. As you can see this is a function. Each element in A is matched with an element in B. All the elements in A are matched with the same element in B. So, this fulfills with the definition of function.
2. The mapping diagram is represented in Figure 2. This is not a function. Notice that an element in A (the domain) is matched with two different elements in B, that is, -8 is matched with -6 and 1.
