## anonymous one year ago Will fan and medal! Please help me find the range of y=(4/5)sin(x) for pi(less than/equal) x (less than/equal) 3pi/2

1. anonymous

look up the section on youtube that you need help on

2. anonymous

idk this one

3. anonymous

because i don't know this one

4. Michele_Laino

hint: the graph of the function y=sin(x), is: |dw:1437157640610:dw|

5. Michele_Laino

|dw:1437157740307:dw|

6. Michele_Laino

now, we have these natural limits: $\Large - \frac{4}{5} \leqslant \left( {\frac{4}{5}\sin x} \right) \leqslant \frac{4}{5}$

7. anonymous

so thats the range? @Michele_Laino

8. Michele_Laino

not exactly, since we have: |dw:1437157978078:dw|

9. Michele_Laino

your part of graph is enclosed in this segment: $\Large \left[ { - \frac{4}{5},0} \right]$

10. Michele_Laino

|dw:1437158152131:dw|

11. anonymous

Okay so how do i figrue out what the range is? @Michele_Laino

12. Michele_Laino

As you can see from my drawing, the requested range is the interval: $\Large \left[ { - \frac{4}{5},0} \right]$