Dose the following table of points represent a function
1 answer:
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Answer:
Domain: All real numbers Range: (-∞, -31/8]
Step-by-step explanation:
Since the parent function for this equasion is y=x^2, you know that the graph wil be parabolic in shape. All parabolic functions have a domain of all real numbers. Now when you rewrite the graph in vertex form, you will see that the top vertex is at y=-31/8, this is going to restrict the range to be (-∞, -31/8]. I have provided a graph using the app PhotoMath.
a) The <em>perimeter</em> function of the rectangle is .
b) The domain of the <em>perimeter </em>function is .
<h3>How to analysis the perimeter formula of a rectangle inside a parabola</h3>
a) The perimeter of a rectangle () is the sum of the lengths of its four sides:
(1)
If we know that and
, then the perimeter of the rectangle is represented by the following formula:
The <em>perimeter</em> function of the rectangle is .
b) The domain of the function is the set of values of associated to the function. After a quick inspection, we find that the domain of the <em>perimeter </em>function is
.
<h3>Remark</h3>
The statement is incomplete and poorly formatted. The correct form is described below:
<em>As shown at the right, rectangle ABCD has vertices C and D on the x-axis and vertices A and B on the part of the parabola </em><em> that is above the x-axis. a) Express the perimeter </em>
<em> of the rectangle as a function of the x-coordinate of A. b) What is the domain of the perimeter function?</em>
To learn more on rectangles, we kindly invite to check this verified question: brainly.com/question/10046743
