0.3333333333333333333 ect.
Answer:
Negative slope.
Step-by-step explanation:
Answer:
B) 48cm²
Step-by-step explanation:
find the area of the 2 rectangles
A = bh
A = 9×4
A = 36
A = bh
A = 6×2
A = 12
add them up you get 48cm²
We have been given a quadratic function
and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is
.
If we restrict the domain of this function to either
or
, it will become one to one function.
Let us know find its inverse.
![y=(x-5)^{2}+2](https://tex.z-dn.net/?f=y%3D%28x-5%29%5E%7B2%7D%2B2)
Upon interchanging x and y, we get:
![x=(y-5)^{2}+2](https://tex.z-dn.net/?f=x%3D%28y-5%29%5E%7B2%7D%2B2)
Let us now solve this function for y.
![(y-5)^{2}=x-2\\ y-5=\pm \sqrt{x-2}\\ y=5\pm \sqrt{x-2}\\](https://tex.z-dn.net/?f=%28y-5%29%5E%7B2%7D%3Dx-2%5C%5C%0Ay-5%3D%5Cpm%20%5Csqrt%7Bx-2%7D%5C%5C%0Ay%3D5%5Cpm%20%5Csqrt%7Bx-2%7D%5C%5C)
Hence, the inverse function would be
if we restrict the domain of original function to
and the inverse function would be
if we restrict the domain to
.