(n+7)2
= (n)(2) + (7)(2)
=2n+14
Answer: F
Step-by-step explanation:
1+2+...+n = n*(n+1)/2 for all natural numbers n.
Left-hand-side = (5+1)+(5+2)+...+(5+10)=5*10+10*(10+1)/2=50+55=105
Right-hand-side = (4)+(4+1)+...+(4+9)=4*10+9*(9+1)/2=40+45=85
105≠85
The equation is false
Y/2=1-x
y=2-2x
y(-2)=2-2(-2)=2+4=6, (-2,6)
So (-2, 6) is an ordered pair from x+y/2=1
Answer:
Original function:
f(x) = log2(x)
Transformed function:
f(x) = -log2(x - 1) + 2
The transformation process is to take f(x)=log2(x) and shift it to the right 1 unit and shift 2 units up. Then flip it down.
A log cannot have a negative value for an argument. Set the argument greater than zero.
x - 1 > 0
x > 1
The domain is all values greater than 1.
To find the range, use the domain.
Evaluate f(1.00001), f(2) , f(200), and f(2000)
Then use those values to determine the range.
