X^2 -2x = 0
Get the coefficient of x
divide it by 2
square it
add it to both sides
-2 / 2 = -1
-1^2 = 1
x^2 -2x +1= 1
Take the square root of both sides
(x-1) = sq root (1)
Answer:
4 ± 1/2sqrt(x) = y
This is not a function
Step-by-step explanation:
f(x) = (8-2x)^2
y = (8-2x)^2
To find the inverse function, exchange x and y and then solve for y
x = (8-2y)^2
Take the square root of each side
±sqrt(x) = 8-2y
Subtract 8 from each side
-8±sqrt(x) = 8-8-2y
-8±sqrt(x) = -2y
Divide by -2
-8/-2± 1/2sqrt(x) = -2/-2y
4 ± 1/2sqrt(x) = y
This is not a function
1) given function
y = - 2 ^ ( -x + 2) + 1
2) domain: domain is the set of the x-values for which the function is defined.
The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.
3) x-intercept => y = 0
=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1
=> - x + 2 = 0 => x = 2
The x-intercept is x = 0
4) y-intercept => x = 0
=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2) 1 = - (2)^(2) + 1 =- 4 + 1 = - 3
=> The y-intercept is - 3
5) limit when x -> negative infinite
Lim f(x) when x -> ∞ = - ∞
6) limit when x -> infinite
Lim f(x) when x - > infinite = 1
=> asymptote = y = 1
7) range is the set of values of the fucntion: y
Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1
Range (-∞,1)
So one way is to have a number close to 7
14.00000000000000000000001/2
21.00000000000000000001/3
28.000001/4
etc
No they are have a great day
