Set the function up in integral form and evaluate to find the integral.
F(x)=F(x)=12x2−ln(|x|)−1x2+C
We have to identify the rational function among the given functions.
Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.
1. Consider the first function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
2. Consider the second function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
3. Consider the third function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
4. Consider the fourth function 
, since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.
So, Option D is the correct answer.
Answer:
Lines 3 and 4
Step-by-step explanation:
Let's examine the slope of each of the given lines to have the exact value and be able to answer the question. We use the definition of: 
Line 1: 
Line 2: 
Line 3: 
Line 4: 
Line 5: 
Therefore the lines that have slope strictly greater than 1 and less than 2 are:
Lines 3 and 4
Answer:
10
Step-by-step explanation:
If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B
lets try plugging in 4 as x to test answer C:
2(8-4)
2(4)= 8
8 is greater than 4, therefore C is wrong.
Lets try 10 as X (answer D):
2(8-10)
2(-2)
-4
We know that -4 is less than 4, therefore it makes the inequality true! :)
I did where you subtract 4 from both sides then divide 2 from 4 and you get 0.5 as x for your answer but im not sure
