Answer:
{2, 4}.
Step-by-step explanation:
A = {1, 2, 3, 4, 5} and B = {2, 4}.
A ∩ B?
This means intersection or what is in common
A ∩ B = {2, 4}.
The second and the third one are similar.
Answer:
There are many. Two examples are
![f(x) = x, \\f(x) = x^3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%2C%20%5C%5Cf%28x%29%20%3D%20x%5E3)
Step-by-step explanation:
There are many examples. The simplest is
1 -
![f(x) = x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x)
It is trivial that
![\text{if \,\,\,\,} f(x) = f(y) \,\,\,\,\,\text{then} \,\,\,\,\, x=y](https://tex.z-dn.net/?f=%5Ctext%7Bif%20%5C%2C%5C%2C%5C%2C%5C%2C%7D%20%20f%28x%29%20%3D%20f%28y%29%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5Ctext%7Bthen%7D%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20x%3Dy)
2 -
![f(x) = x^3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E3)
That function is injective as well.
![\text{if \,\,\,\,} x^3 = y^3 \,\,\,\,\,\text{then} \,\,\,\,\, x=y](https://tex.z-dn.net/?f=%5Ctext%7Bif%20%5C%2C%5C%2C%5C%2C%5C%2C%7D%20%20x%5E3%20%3D%20y%5E3%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5Ctext%7Bthen%7D%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20x%3Dy)
An example of a function that is NOT injective is
![f(x) = x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2)
Notice that
![f(-2) = (-2)^2 = 2^2 = 4](https://tex.z-dn.net/?f=f%28-2%29%20%3D%20%28-2%29%5E2%20%3D%202%5E2%20%3D%204)
Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
I don’t see any graph attached to the question