Unfortunately, there are no given tables. To solve the given problem, the functions which fits the values in the tables must be known. This process is called modeling. One could test if the values fit a linear model, a quadratic model, or any other model. After knowing the functions, equating the two functions, would yield the input value that gives the same output.
Let's start off by writing this with symbols. 
Follow the order of operations and start with the exponent. 
Now, solve the parentheses. 
Multiply. 
Add. 
Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
The answer is D! x(x+4). Hope this helps!!
