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
Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
Sorry I can’t buddy........................................................:(
Answer:
6.928 or 6.93
Step-by-step explanation:
\sqrt{8^{2}-4^{2}}
Answer:
43 out of 120 have zips
Step-by-step explanation:
because