Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
Bulletin boards can be in all shapes and sizes. There is no correct or incorrect answer to this problem.
P = 5
I am not sure if this is correct. However, P is used to represent the addresses and there are 5 addresses. Therefore p = 5.
The function that is graphed is...
B.) y = |x - 3| - 4
Since the lines "|" in the function make it a V shape.
And when you graph the one point where the the 2 lines meet it is.
(-3, -4)
So this answer is correct. :P
Good Luck! :)
Both (m + n)2<span> and 36 are </span>perfect<span> squares, and 12(m + n) is twice the product of (m + n) and 6. Since the middle term is positive, the pattern is (a + b)</span>2<span> = a</span>2<span> + 2ab + b</span>2. Place the x2<span> tile, 4 x-tiles and 4 1-tiles in the grid. Fill the outside sections of the grid with x-tiles and 1-tiles that complete the pattern.</span>