Consider the table representing a rational function.
1 answer:
Answer:
D. The function has a hole when x = 0 and a vertical asymptote when x = 4
Step-by-step explanation:
In the figure attached, the tabe is shown.
There is a vertical asymptote when x = 4 because at near points to x = 4 function values are very different between themselves.
There is a hole when x = 0 because at the points to x = 0 function values are similar between themselves.
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We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;
Where , D = b² - 4ac (Discriminant)
Now , On comparing the given equation with ax² + bx + c , we have
⇢⇢⇢ <em><u>a = 1 , b = - 10 , c = 2</u></em><em><u>7</u></em>
Now , Calculating D ;
Now , Calculating the vertex ;
Hence , The vertex of the parabola is at (5,2)
Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .
Refer to the attachment for the graph as well .
