Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
21
Step-by-step explanation:
why do you use points when you could literally just search it up
Answer:
C
Step-by-step explanation:
longer leg/shorter leg = longer leg/shorter leg
10/5 = 5/2.5
The expression y = y + 8 does neither represent an odd number nor an even number.
<h3>Does represent a given equation an even or odd number or neither?</h3>
In this problem we must check if a given algebraic equation represents an even number or an odd number or neither by using algebraic means. Even numbers are integers, whose last digit is 0, 2, 4, 6 or 8, whereas odd numbers are integers, whose last digit is 1, 3, 5, 7 or 9. Now we proceed to check the expression:
y = y + 8 Given
y + (- y) = 8 Compatibility with addition / Existence of additive inverse / Modulative property
0 = 8 Existence of additive inverse / Modulative property / Result
The expression y = y + 8 does neither represent an odd number nor an even number.
To learn more on even numbers: brainly.com/question/2289438
#SPJ1
Answer:
30
Step-by-step explanation:
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