If we just have

that's an amplitude of 1 and a period of 
Let's modify this step by step.
Amplitude of 4. Four times the amplitude means a factor of 4 on the outside.

Period of π. Double the period means a factor of 2 on the inside.

Horizontal shift of π/2 to the left. To the left means adding a positive number to x. The question appear ambiguous. It's not clear to me if we add to x or 2x; let's make it

Vertical shift of 3:


Depending on the interpretation of the phase shift, that pi may be a pi/2.
Answer: 
The range is the set of all possible output, as you feed the function with all possible inputs. Since our inputs (domain) are -3, 0, 3, our outputs are

So, the range is

Answer:
y =-2x+7
Step-by-step explanation:
Hello : let A(2,3) B(1,5)
the slope is : (YB - YA)/(XB -XA)
(5-3)/(1-2) = 2/-1 =-2
an equation is : y=ax+b a is a slope
y = -2x +b
the line through point (2,3) : 3 = (-2)(2)+b
b = 7
the equation is : y =-2x+7