Respuesta :
Answer:
Both graphs have the same shape but the following differences:
By looking at the graph we can se that the graph of y=5(x+6) is translated six units to the left with respect to the graph of y=1/x.
Also, the graph of y=5(x+6) grows or decay much faster than the graph of y=1/x, because the graph is enlarged by 5 units.
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Form first and second we can see that they intersect at a point (1.5, 0.667)
Function
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
[tex]\rm y = \dfrac{1}{x}\ \ \ and \ \ \ \dfrac{5}{x+6}[/tex] are the rectangular hyperbolic functions.
To draw the graph.
How to draw?
We know the first function
[tex]\rm y = \dfrac{1}{x}[/tex]
At x = 0, y will shoot to infinity and x = ∞, y will be 0.
We know the second function
[tex]\rm y = \dfrac{5}{x+6}[/tex]
At x = -6, y will shoot to infinity and x = ∞, y will be 0.
Form first and second we can see that they intersect at a point (1.5, 0.667)
Hence the graph is shown below.
More about the function link is given below.
https://brainly.com/question/5245372
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