To determine end behavior, we only have to look at the leading term.
First, the leading term is positive, so we won't have to negate anything.
The leading term has a power that is odd.
Since the exponent is odd, this means that the function goes to positive infinity as x goes to positive infinity.
This also means that the function goes to negative infinity as x goes to negative infinity.
Those are the end behaviors.
Have an awesome day! :)
The equation for the table is y=2x+3.
Answer:118.3
Step-by-step explanation:
=0.5*13*18.2
Answer:
![\tan(A) = \frac{3}{5}](https://tex.z-dn.net/?f=%5Ctan%28A%29%20%3D%20%5Cfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
Given
![\sin(A) = \frac{3}{\sqrt {34}}](https://tex.z-dn.net/?f=%5Csin%28A%29%20%3D%20%5Cfrac%7B3%7D%7B%5Csqrt%20%7B34%7D%7D)
--- First Quadrant
Required
Find tan(A)
The sin of an angle is:
![\tan(A) = \frac{Opposite}{Hypotenuse}](https://tex.z-dn.net/?f=%5Ctan%28A%29%20%3D%20%5Cfrac%7BOpposite%7D%7BHypotenuse%7D)
and
![\sin(A) = \frac{3}{\sqrt {34}}](https://tex.z-dn.net/?f=%5Csin%28A%29%20%3D%20%5Cfrac%7B3%7D%7B%5Csqrt%20%7B34%7D%7D)
By comparison:
![Opposite = 3](https://tex.z-dn.net/?f=Opposite%20%3D%203)
![Hypotenuse = \sqrt{34](https://tex.z-dn.net/?f=Hypotenuse%20%3D%20%5Csqrt%7B34)
So, the Adjacent is:
![Hypotenuse^2 = Adjacent^2 + Opposite^2](https://tex.z-dn.net/?f=Hypotenuse%5E2%20%3D%20Adjacent%5E2%20%2B%20Opposite%5E2)
![(\sqrt{34})^2 = Adjacent^2 + 3^2](https://tex.z-dn.net/?f=%28%5Csqrt%7B34%7D%29%5E2%20%3D%20Adjacent%5E2%20%2B%203%5E2)
![34 = Adjacent^2 + 9](https://tex.z-dn.net/?f=34%20%3D%20Adjacent%5E2%20%2B%209)
Collect like terms
![Adjacent^2 =34 - 9](https://tex.z-dn.net/?f=Adjacent%5E2%20%3D34%20-%209)
![Adjacent^2 =25](https://tex.z-dn.net/?f=Adjacent%5E2%20%3D25)
Take square roots
![Adjacent =\sqrt{25](https://tex.z-dn.net/?f=Adjacent%20%3D%5Csqrt%7B25)
![Adjacent =5](https://tex.z-dn.net/?f=Adjacent%20%3D5)
The tangent of an angle is:
![\tan(A) = \frac{Opposite}{Adjacent}](https://tex.z-dn.net/?f=%5Ctan%28A%29%20%3D%20%5Cfrac%7BOpposite%7D%7BAdjacent%7D)
This gives:
![\tan(A) = \frac{3}{5}](https://tex.z-dn.net/?f=%5Ctan%28A%29%20%3D%20%5Cfrac%7B3%7D%7B5%7D)