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
Find out the what is the sale price of the jeans including tax .
To prove
Let us assume that the sale price of the jeans including tax be x .
As given
Michael is buying a pair of jeans that regularly cost $40.
They are on sale for 20% off.
If the tax rate is 8% .
20% is written in the decimal form
= 0.20
8% is written in the decimal form
= 0.08
Than the equation becomes
x = 40 - 40 × 0.20 + 40 × 0.08
x = 40 - 8 + 3.2
x = 43.2 - 8
x = $35.2
Therefore the sale price of the jeans including tax be $ 35.2 .
Answer:
B: 12.9
Step-by-step explanation:
If A B and C are the alternatives, the answer is B: 12.9
The reason is that the hypotenuse can't be smaller than one of its sides, that eliminates alternative C.
And also, the hypotenuse can't be bigger than segments AC + BC, since the side AC is bigger and AC measures 10.8, the hypotenuse would have to measure < 21.6
Any questions, comment.
Answer:
Step-by-step explanation:
1. Distribute the X across the equation: 
2.
3.
3.
