Two quantities are related, as shown in the table below:
2 answers:
Answer:
A is the correct answer
Step-by-step explanation:
Given: Table of x and y
x : 2 4 6 8
y : 3 4 5 6
Using two point find the slope:
(2,3) and (4,4)
Now we find slope using last two point
(6,5) and (8,6)
Slope is equal. Thus, The given relation is linear.
Hence, The relation represents a linear equation
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Answer with explanation:
Let us assume that the 2 functions are:
1) f(x)
2) g(x)
Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that
Now the sum of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus
Thus the sum of the 2 functions is also a concave function.
Part 2)
The product of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.