Which of the following rational functions is graphed below?
1 answer:
Answer:
Option (D)
Step-by-step explanation:
The given graph represents a rational function having,
1). Vertical asymptote → x = 2
2). Horizontal asymptote → y = 0
Parent function representing the rational function will be in the form of,
F(x) =
Since, vertical asymptote of the function is x = 2, denominator of the function will be in the form of (x - 2)².
Since, horizontal asymptote of the function is y = 0, highest exponent term in the numerator will be 0.
Therefore, numerator of the fraction will be x⁰.
The rational function given in the graph will be,
F(x) =
F(x) =
Option (D) will be the answer.
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Answer:
The endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).
Step-by-step explanation:
If a line connecting the midpoint of two sides and parallel to the third side of the triangle, then it is called a midsegment.
From the given figure it is noticed that the vertices of the triangle are D(1,4), E(1,1) and F(-3,3).
If the midsegment is parallel to DE, then the end points of the midsegment are mid point of DF and EF.
Midpoint formula.
Midpoint of DF,
Midpoint of EF,
Therefore the endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).