The value of the function is 6
Step-by-step explanation:
The function that we have in this problem is
This means that:
when x is between -4 (excluded) and 6 (excluded), the value of the function is
when x is between 6 (included) and 9 (excluded), the value of the function is 6
In this problem, we are asked to evaluate f(x) when x = 6. Therefore, we are in the second case: therefore, the value of the function is 6,
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Answer:
Using Geometry to answer the question would be the simplest:
Step-by-step explanation:
Remembering the formula for the area of a triangle which is . One can then tackle the question by doing the following:
Step 1 Find the y-intercepts
The y-intercepts are found by substituting in .
Which gives you this when you plug it into both equations:
So the y-intercepts for the graphs are , and
respectively.
Now one has to use elimination to solve the problems by adding up the equations we get:
Now to solve for the y component substitute:
Therefore, the graphs intersect at the following:
Now we have our triangle which is accompanied by the graph.
now to solve it we must figure out how long the base is:
The height must also be accounted for which is the following:
Now the formula can be used:
