For this case we have to:
x: Variable that represents the number of times Henry visits the art museum.
If you pay 15 for parking and 25 for admission every time you go, we have:
Now, if you buy a membership at a net cost (it does not depend on the number of visits to the museum) of $ 110 and only pay $ 10 of parking, every time you attend the museum, we have:
Finally, the two equations that represent the situation are:
Answer:
Option A
Answer:
Option A. x < -4
Step-by-step explanation:
The given function is f(x) = -(x + 6)(x + 2)
General form of the function will be,
f(x) = -(x² + 2x + 6x + 12)
= -(x² + 8x + 12)
Vertex form of the function will be,
f(x) = -[x² + 2(4)x + 12]
= -[(x² + 2(4)x + 16) - 16 + 12]
= -(x + 4)² + 4
Therefore, parabola for the function above will open down with vertex (-4, 4) as shown in the graph attached.
Graph shows the function is increasing in x < -4 and decreasing in x > -4.
Therefore, Option A. is the correct answer.
Matching each equation of the plecewise function represented in the graph will be:
It should be noted that a domain simply means the set of inputs that are accepted by the function.
In this case, the equation of the piecewise function represented is given.
The graph is attached.
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