complete the function table below for the function F(x) =x2=2 . the numbers in the second row of the completed table make an arithmetic sequence ?.
first: I see no function table below
second: your equation makes no sense.
To complete the function table for the function F(x) = x^2 - 2, we need to find the corresponding values of the function for different input values of x.
Let's start by selecting some input values for x and calculating the corresponding output values using the given function:
x | F(x) = x^2 - 2
--------------
0 | 0
1 | -1
2 | 2
3 | 7
4 | 14
5 | 23
Now, let's examine the numbers in the second row (F(x) values):
-1, 2, 7, 14, 23
To determine if these numbers make an arithmetic sequence, we can calculate the differences between consecutive terms:
2 - (-1) = 3
7 - 2 = 5
14 - 7 = 7
23 - 14 = 9
We can observe that the differences between consecutive terms are not constant. Therefore, the numbers in the second row do not make an arithmetic sequence.
To complete the function table for the quadratic function F(x) = x^2 + 2, we need to evaluate the function for different values of x.
First, let's look at the given function F(x) = x^2 + 2. This is a quadratic function that has a square term (x^2) and a constant term (+2).
To create a table, we can choose different values for x, plug them into the function F(x), and evaluate the expression.
Let's choose values of x and calculate F(x) for each value:
x | F(x) = x^2 + 2
---------------
-2 | (-2)^2 + 2 = 6
-1 | (-1)^2 + 2 = 3
0 | (0)^2 + 2 = 2
1 | (1)^2 + 2 = 3
2 | (2)^2 + 2 = 6
Now, let's look at the second row of the completed table, which represents the values of F(x). We have: 6, 3, 2, 3, 6.
To check if these values make an arithmetic sequence, we need to check if the difference between each consecutive pair of values is the same.
Taking the consecutive pairs of values, we have: 6 - 3 = 3, 3 - 2 = 1, 2 - 3 = -1, and 3 - 6 = -3.
As the differences are not consistent, we can conclude that the numbers in the second row of the completed table do not make an arithmetic sequence.
The table is
Input x. 0 1. 2 3. 4 5
Output y 4 10 16 22. I need to complete the table for y