The square root of -56 is 7.4833 (feel free to round it up to 7.5)
I hope this helps you!
The tan(-x) is the same thing as -tan(x). The tangent function is also the same thing as sin(x)/cos(x), right? So let's rewrite that tan in terms of sin and cos:
![[cos(x)][tan(-x)]](https://tex.z-dn.net/?f=%5Bcos%28x%29%5D%5Btan%28-x%29%5D)
is the same as
![[cos(x)][ -\frac{sin(x)}{cos(x)}]](https://tex.z-dn.net/?f=%5Bcos%28x%29%5D%5B%20-%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%5D%20)
We can now cancel out the cos(x), which leaves us only with -sin(x) remaining. So your answer is A.
The average r. of c. of a function f(x) on an interval [a,b] is:
f(b) - f(a)
--------------
b-a
You'll need to apply this to all four of the given functions.
First function: f(x) = x^2 + 3x
a= -2; b= 3
Then the ave. r. of c. for this function on this interval is:
18 - (-2) 20
------------------ = ---------- = 4. y increases by 4 for every unit increase in x.
3-(-2) 5
Do the same thing for the other 3 functions.
Then arrange your four results in descending order (greatest to least).
domain is the numbes you are allowed to use for x
what I usually do is just find the numbers that aren't allowed in the domain. such numbers are numbers that cause a division by 0 or a squaer root of a negative number
given
, there are no numbers that you can use for x that will cause a division by 0 or a square root of a negative number
so domain is all real numbers or D={x | -∞<x<∞}