The scale on a map indicates that 3 inches equal to 9 miles. If the distance on the map between a city library and a school is 1
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ANSWER
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EXPLANATION
For
We make y the subject to obtain,
We can easily graph this function, because we just have to transform the graph of by shifting the intercept up to
.
As for the straight line, ,
We find the intercepts as follows,
When .
When .
We plot the points and
.
We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be
or
See graph
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: