Given:
The given function is:
To find:
The range of the given function.
Solution:
We have,
It is a quadratic function because the highest power of the variable x is 2.
Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.
If a quadratic function is 
, then the vertex of the quadratic function is:
In the given function, 
.
The value of the given function at 
is:
The vertex of the given downward parabola is 
. It means the maximum value of the function is . So,
![Range=\left(-\infty, \dfrac{2121}{32}\right ]](https://tex.z-dn.net/?f=Range%3D%5Cleft%28-%5Cinfty%2C%20%5Cdfrac%7B2121%7D%7B32%7D%5Cright%20%5D)
Therefore, the range of the given function is ![\left (-\infty, \dfrac{2121}{32}\right ]](https://tex.z-dn.net/?f=%5Cleft%20%28-%5Cinfty%2C%20%5Cdfrac%7B2121%7D%7B32%7D%5Cright%20%5D)
.
Answer:
60 ÷ 20 = the answer is 3 ok I know here the answer was it helpful please rate it can u fund me a question about invited or dared to fight against-________ please tell me if u know the answer
Answer: Midpoint= -13/2, -4
Step-by-step explanation:
Midpoint formula is (X1+X2)/2, (Y1+Y2)/2
So.
1. (-7+(-6))/2, (-7+(-1))/2
2. That equals -13/2,-4
Graph A)
Vertex : (-4,4)
Domain: All real numbers
Range: y <= 4
x-intercepts: (-2,0) (-6,0)
how many solutions: 2 solutions because x-intercepts already give you the solution.
Axis of Symmetry : x = -4
Graph B
Vertex: wait for better image
maximum or minimum: The graph has minimum point because it is the lowest point in the graph or rather say that the point gives the least value and that's why it is callled minimum.
describe the end behavior:
when x approaches negative infinity, f(x) will approach positive infinity.
when x approaches positive infinity, f(x) will appeoach positive infinity
why no solution:
when
8 - Percentage decrease =
8 - (25% × 8) =
8 - 25% × 8 =
(1 - 25%) × 8 =
(100% - 25%) × 8 =
75% × 8 =
75 ÷ 100 × 8 =
75 × 8 ÷ 100 =
600 ÷ 100 =
6
