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)
The direction given by Enzo's sister is an illustration of distance
Enzo's distance from the east of 1st avenue to the field is 6 miles
<h3>
How to describe the directions?</h3>
From the question, we have the following directions:
- Start at east of 1st avenue
- Drive 3 miles
- Make a 90 degrees right turn
- Drive 1 mile
- Turn at 90 degrees intersection
- Drive 2 miles
The above directions imply that the total distance from the east of 1st avenue to the field is:
Distance = 3 miles + 1 mile + 2 miles
Evaluate the sum
Distance = 6 miles
Hence, Enzo's distance from the east of 1st avenue to the field is 6 miles
Read more about distance at:
brainly.com/question/4931057
Y = mx + b
m = slope, b = y intercept
Plug in the values
Solution: y = -2x + 3
Answer:
The size of the population mean would be provided as:
mean +/- std/sqrt(sample size)
<=>
87.3 +/- 13.6/sqrt(175)
<=>
87.3 +/- 1.03
=> Option B is correct.
Hope this helps!
:)
