Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:
and 
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
LCM the last common multiple. the greatest common factor is the biggest number that will go into the 2 numbers so it can be no bigger than the 2 numbers. the LCM is larger than at least one of them
Answer:
sqrt(-8x+5)
Step-by-step explanation:
(5-8x)
-----------------
sqrt(-8x+5)
We need to rationalize the denominator
(5-8x) sqrt(-8x+5)
----------------- * ---------------
sqrt(-8x-5) sqrt(-8x+5)
(5-8x) sqrt(-8x+5)
----------------- * ---------------
(-8x+5)
The first term cancels
sqrt(-8x+5)
Yes, your answer is correct.
So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):
Now that we have their y's, we can use the slope, aka average rate of change, formula, which is 
. Using what we have, we can solve it as such:
In short, the average rate of change from x = 0 to x = 8 is 5/21.
