ANSWER
D. As the x-values increase, the y-values would decrease
EXPLANATION
The given function is
![y = - \frac{1}{2} x - 7](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%207)
The slope of this function is
![m = - \frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Since the slope is negative, there is a negative or an inverse relationship between x and y.
As the values of x increases, the values of y decreases.
Also, as the values of x decreases, the values of y increases.
The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.
For instance, when
![x = - 40](https://tex.z-dn.net/?f=x%20%3D%20%20-%2040)
![y = - \frac{1}{2} ( - 40) - 7](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%28%20-%2040%29%20-%207)
This implies that,
![y = 20 - 7 = 13](https://tex.z-dn.net/?f=y%20%3D%2020%20-%207%20%3D%2013)
Options B is obviously not true because the function has a negative relationship between x and y.
Option C is also false because, x can be positive since it is the independent variable.
See graph
Therefore, the correct answer is option D.
If u move it to the left on the graph it would be 4,3. u don't change the y value because if u move left ur only moving the x value to the left
Answer:
Domain and range both ![(-\infty, \infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20%5Cinfty%29)
Step-by-step explanation:
The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because
can obviously range from
without restriction.
The inverse of the function can be found as such:
.
Here,
can also range from
without restriction.
So, the domain and range are both ![\boxed{(-\infty, \infty)}](https://tex.z-dn.net/?f=%5Cboxed%7B%28-%5Cinfty%2C%20%5Cinfty%29%7D)