Question
Here is the question : IF X = 2, WHICH OF THE FOLLOWING HAS THE LARGEST VALUE?
Option
Here is the option for the question :
- 9x
- x^9
- x/9
- 9/x
The Answer:
And, the answer for the the question is :
Explanation:
If we assume that x is equal to 2, then the four possible responses can be broken down as shown below. Answer A is 9 times 2, which is 18. Answer B is correct if you multiply 2 by itself nine times to get 512. This expression may also be written as 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512. To get answer C, divide 2 by 9 to get.22. For answer D, 9/2 = 4.5. Answer B has the greatest value considering those other responses.
In mathematics, comparing and analyzing functions is a fundamental skill that is used in many different areas of study, including calculus, geometry, and physics. One common method of comparing functions is to evaluate them at a certain point and compare their values. For example, if x = 2, we can compare the values of different functions evaluated at x = 2 to determine which one has the largest value.
In the case of x = 2, we can compare the values of x^2, x^4, and x^9. Evaluating each of these functions at x = 2, we get:
x^2 = 2^2 = 4
x^4 = 2^4 = 16
x^9 = 2^9 = 512
Therefore, we can see that x^9 has the largest value when x = 2. This is because as the exponent increases, the value of the function increases at an exponential rate. In other words, the function grows much faster as the exponent increases, and this effect becomes more pronounced as the base (in this case, 2) gets larger.
Comparing functions is an essential skill that is used in many areas of mathematics and beyond. By evaluating functions at certain points and comparing their values, we can make predictions and draw conclusions about various phenomena. these techniques are also used in optimization, integration, and many other areas of mathematics.