What is the sum and classification of
2 answers:
Answer: OPTION A.
Step-by-step explanation:
By definition:
A number is Rational when it can be written as a simple fraction.
A number is Irrational when it cannot be written as a simple fraction.
Notice that:
is a Rational number.
It is an irrational number.
Therefore, the sum of these numbers is an Irrational number:
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For this case we have the following table:
X F(x)
-1 -11
0 -1
1 9
From here, we look for the function f (x).
We then have that as the equation is linear:
Where,
We choose an ordered pair:
Substituting values:
Rewriting:
Thus, the function f (x) is:
On the other hand, the function g (x) is:
Answer:
The slope of f (x) is greater than the slope of g (x) (10> 5)
The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)
X F(x)
-1 -11
0 -1
1 9
From here, we look for the function f (x).
We then have that as the equation is linear:
Where,
We choose an ordered pair:
Substituting values:
Rewriting:
Thus, the function f (x) is:
On the other hand, the function g (x) is:
Answer:
The slope of f (x) is greater than the slope of g (x) (10> 5)
The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)