What is the first step in sketching the graph of a rational function?
2 answers:
Consider the rational function
We will find the Domain of Rational function first, means those value of rational function for which f(x) is defined, To do this we will evaluate those point first for which, Q(x)=0.
So, The first Step is "Finding Domain of the rational function" as well as the point where function is not defined.
⇒Consider the function
→Domain of the function is
x-2=0
x=2
=All Real Numbers , except at x=2.
=R- {2}
You might be interested in
Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is
But remeber that the derivative of is
so,
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:
Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.