Answer:
The minimum value of f(x) is 2
Step-by-step explanation:
- To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
- Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)
∵ f(x) = 2x² - 4x + 4
→ Find f'(x)
∵ f'(x) = 2(2)
- 4(1)
+ 0
∴ f'(x) = 4x - 4
→ Equate f'(x) by 0
∵ f'(x) = 0
∴ 4x - 4 = 0
→ Add 4 to both sides
∵ 4x - 4 + 4 = 0 + 4
∴ 4x = 4
→ Divide both sides by 4
∴ x = 1
→ The minimum value is f(1)
∵ f(1) = 2(1)² - 4(1) + 4
∴ f(1) = 2 - 4 + 4
∴ f(1) = 2
∴ The minimum value of f(x) is 2
A. Randomization
The selection is based on random selection
Answer:
or 
Step-by-step explanation:
we know that
the formula to calculate the distance between two points in three dimensions is equal to
Let
-----> coordinates of the barrel of her gun
-----> coordinates of the target
substitute the values
Answer:
x= 5
Step-by-step explanation:
20x=100
divide 100 by 20
x=5
Answer:
{-11, -9, -7, -5, -3}
Step-by-step explanation:
Put each domain value into the function to find the corresponding range value. The range is the list of all of those values.
__
range = f(domain)
= 2{-2, -1, 0, 1, 2} -7 = {-4, -2, 0, 2, 4} -7
= {-11, -9, -7, -5, -3} . . . . . the range for the given domain
_____
If you have a lot of function values to find, a spreadsheet or calculator can be helpful.
