Y=Mx +b
B is 0 because that’s where the graph intercepts the y axis.
M is found by picking any two points and finding the rise and run because m is equal rise/run
Points of choice: (-2,4) and (2,-4)
=2−1/2−1 = -8/4
m is equal -2
Y= -2X
Look at the picture below to differentiate between positive and negative slopes.
Answer:
Step-by-step explanation:What??
Honestly I don't know that is a really hard question
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)