Answer:
<h3>
</h3>
Step-by-step explanation:
Let the points be A and B
A ( -8 , - 18 )⇒( x₁ , y₁ )
B ( 14 , -18 )⇒( x₂ , y₂)
<u>Finding </u><u>the </u><u>distance </u><u>between</u><u> </u><u>these </u><u>two </u><u>points</u>
Plug the values
⇒
We know that,
⇒
Calculate
⇒
Evaluate the power
⇒
⇒
units
Hope I helped !
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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)
3 (10x+7) is equal to 30x+21
D.) 15s
The fourth term refers to the 15s together, not any part of the term apart.
