An ice cream factory makes 375 quarts of ice cream in 5 hours. How many quarts could be made in 13 hours?
2 answers:
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Answer:
The domain of the function f(x) is:
The range of the function f(x) is:
Step-by-step explanation:
Given the function
Determining the domain:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis.
It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
- Range refers to all the possible sets of output values on the y-axis.
We know that the range of an Absolute function is of the form
so
Thus, the range of the function f(x) is:
Answer:
Choice B), .
Step-by-step explanation:
Each point on the graph of can be represented as
.
When the graph of is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example,
(same as
) will become
, and vice versa. In general,
will become
.
On the other hand, points on the graph of can be represented as
.
is the reflection of
, so
and
shall be equivalent. In other words,
.