Answer:
Step-by-step explanation:
The graph in the attachment is a quadratic function whose vertex is in the fourth quadrant.
The coordinates of a point in the fourth quadrant is of the form
Considering the options, the vertex must have coordinates and
.
The quadratic function in vertex form is written as;
Therefore the equation of the quadratic function is;
The correct answer is option D
The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
<h3>How to determine the instantaneous rate of change of a given function</h3>The <em>instantaneous</em> rate of change at a given value of can be found by concept of derivative, which is described below:
Where is the <em>difference</em> rate.
In this question we must find an expression for the <em>instantaneous</em> rate of change of if
and evaluate the resulting expression for
. Then, we have the following procedure below:
Now we evaluate for
:
The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037