<em><u>Solution:</u></em>
Given that,
<em><u>The reason is:</u></em>
When we are adding terms which has exactly the same variables, we must add the constants and let the result stand with variable
Which means,
4x + 10x = 14x
But,
We cannot add terms that has different variable
Which means,
4x + 5y
Here, both the terms 4x and 5y has different variable present in it. Hence they cannot be added together
Answer:
The rule that represents the function is therefore the function is
Step-by-step explanation:
We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>
Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.
<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.
So <u>we propose the rule </u><u> which is correct for the first 3 values of x.</u>
Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as
Therefore, the rule is correct, and the function is