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:
y=-4x+5
Step-by-step explanation:
the line goes down 4 for every 1 that x changes. the line crosses the y axis at 5.
(this might not be accurate, I can't really see if the line is on the exact point or not)
Answer:
could you include a pic please?
Answer:
1. 5,400 inches to miles. 5400 in 4. Copage. 12 in. 2. 16 weeks to seconds ... 9. 32 ft/sec to meters/min. 324. 2 in 12.54cm bor mm / 585,22 m/min.) 10. You find ... Directions: Use dimensional analysis to convert each rate. ... Round your answer to the nearest hundredth. 1. ... What is the cyclist's speed in feet per minute?
D. y = 3x + 2
Check (-4, -10)
-10 = 3(-4) + 2
-10 = -12 + 2
-10 = -10 :)
Check (-3, -7)
-7 = 3(-3) + 2
-7 = -9 + 2
-7 = -7 :)
Check (-2, -4)
-4 = 3(-2) + 2
-4 = -6 + 2
-4 = -4 :)
Check (-1, -1)
-1 = 3(-1) + 2
-1 = -3 + 2
-1 = -1 :)
Check (0, 2)
2 = 3(0) + 2
2 = 0 + 2
2 = 2 :)
