Everyone please answer one of these my birthday tuesday but i might be in trouble if i fail this :(
1 answer:
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Answer:
Vertical asymptote:
Horizontal asymptote:
Domain of f(x) is all real numbers except 3.
Range of f(x) is all real numbers except 2.
Step-by-step explanation:
Given:
Function:
One root,
To find:
Vertical and horizontal asymptote, domain, range and roots of f(x).
Solution:
First of all, let us find the roots of f(x).
<em>Roots of f(x) means the value of x where f(x) = 0</em>
One root,
Domain of f(x) i.e. the values that we give as input to the function and there is a value of f(x) defined for it.
For x = 3, the value of f(x)
For all, other values of ,
is defined.
Hence, Domain of f(x) is all real numbers except 3.
Range of f(x) i.e. the values that are possible output of the function.
f(x) = 2 is not possible in this case because something is subtracted from 2. That something is .
Hence, Range of f(x) is all real numbers except 2.
Vertical Asymptote is the value of x, where value of f(x) .
It is possible only when
vertical asymptote:
Horizontal Asymptote is the value of f(x) , where value of x .
Horizontal asymptote:
Please refer to the graph of given function as shown in the attached image.
A proportion is a statement that two ratios are equal. A ratio is a comparison of two different quantities. "Miles per hour" is a ratio. "Dollars per pound" is a ratio. A proportion is that two of these things are equal.
For example, paying $2/pound for apples is the same as paying $6 for 3 pounds:
That's a portion.
When working with proportions in word problems, you start by setting up one ratio/fraction where you know all the information. You then set up the second one that's missing a piece of information, but you make sure to set it up using the same structure.
If your first ratio is "miles over hours," then the next ratio has to have the same organization.
If your first ratio is "rise over run," then the next ratio has to have the same organization.