Answer:
First 3 are functions . Last one is not a function
Step-by-step explanation:
They are all functions except the last one.
The last one is not a function because it has duplicate x- values in the ordered pairs (1, -1) and (1, -6). There are 2 outputs for one input so its a relation but not a function
Answer:
The length of the segment F'G' is 7.
Step-by-step explanation:
From Linear Algebra we define reflection across the y-axis as follows:
,
(Eq. 1)
In addition, we get this translation formula from the statement of the problem:
,
(Eq. 2)
Where:
- Original point, dimensionless.
- Transformed point, dimensionless.
If we know that
and
, then we proceed to make all needed operations:
Translation




Reflection


Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:
![F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}](https://tex.z-dn.net/?f=F%27G%27%20%3D%20%5Csqrt%7B%285-5%29%5E%7B2%7D%2B%5B%28-1%29-6%5D%5E%7B2%7D%7D)

The length of the segment F'G' is 7.
Answer:
50/100 and .50
Step-by-step explanation:
Answer:
increasing and linear
Step-by-step explanation:
Answer:
Commutative property
Step-by-step explanation:
Hope that helps!