The domain and the range of a function are the set of input and output values, the function can take.
- <em>The domain and the range of </em>
<em> is </em>
<em>.</em> - <em>The parent function </em>
<em> is vertically compressed by 9, then shifted down by 5 units to get </em>
<em />
<em />
Given
![g(x) = 9x^2 - 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%209x%5E2%20-%202)
<u>Domain and range</u>
There is no restriction as to the input and the output of function g(x).
This means that the domain and the range are
is in interval notation
The corresponding set notation is: ![- \infty < x < \infty](https://tex.z-dn.net/?f=-%20%5Cinfty%20%3C%20x%20%3C%20%5Cinfty)
<u />
<u>The parent function</u>
We have:
![f(x) = x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2)
First, the parent function is vertically compressed by a factor of 9.
The rule of this transformation is:
![(x,y) \to (x,9y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C9y%29)
So, we have:
![f'(x) = 9x^2](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%209x%5E2)
Next, the function is shifted down by 5 units.
So, we have:
![g(x) = f'(x) - 5](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%27%28x%29%20-%205)
![g(x) = 9x^2 - 5](https://tex.z-dn.net/?f=g%28x%29%20%3D%209x%5E2%20-%205)
Read more about functions at:
brainly.com/question/21027387
it takes 3 years.formula interest =PRT/100 so its 252 =1200 times 7 times T all over 100 then multiply by 100 both sides to get 25200=8400T devide by 8400 both sides to get 3
Answer:
The problem is 5 × 2/3 so
Billy paycheck every week was 2/3 a dollar which is approximately 66 cents but one day he did fantastic and got a raise and the raise was 5 times his last paycheck how much money is Billy new paycheck? So we do 5 × 2/3 and that equals 10/3, or 3 1/3, or 3 dollars and 30 cents.
Step-by-step explanation:
just copy and paste it.
Answer:D
Step-by-step explanation: