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)
Answer:
A samira is correct
Step-by-step explanation:
Because she did her own expression right, now she has to solve
Answer:
10 6/10
Step-by-step explanation:
8/6 = 1.333
1.333 x 8 = 10.667
as a mixed number: 10 6/10
Answer:
B
Step-by-step explanation:
x has to be larger than 2 so the arrow has to point to the right.
The value 2 is included, so the start has to be a closed dot.
Answer: only has one solution
Step-by-step explanation: If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution