A function assigns the values. The correct option is graph X.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
The function which is giving a constant term is the graph on the right, while the function where the value of x increases to positive infinity is the upper graph.
Hence, the correct option is graph X.
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Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:
To find:
The current that will produce the maximum power.
Solution:
We have,
Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is , then
In the given function, a=-12 and b=120. So,
Putting x=5 in the given function, we get
Therefore, 5 watt current will produce the maximum power of 300 amperes.