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:
(3,2)
Step-by-step explanation:
Here's your given:
y = 4x - 10
y = 2
Because they both equal y, that means they equal each other:
2 = 4x - 10
Add 10 on both sides:
12 = 4x
Then, divide 4 on both sides:
3 = x
This represents the x coordinate.
Normally you would put this value into one of the equations to figure out y, but they already gave us that in the beginning:
y = 2
This represents the y coordinate.
Put the two values together to get: (3,2)
Answer:
8.05 miles
Step-by-step explanation:
If it descended 2.2 miles to 5.85 miles then that means it was at 5.85 + 2.2 miles before its descent.
5.85 + 2.2 = 8.05
Answer:
g(x) = 8x
Step-by-step explanation:
cause of IXL
