Question

find the value of f(x)= |x-4|+|x-3|+....+|x|+|x+1|+....|x+4|​. draw its graph also.

If f(x)=|sin(|cos(x)|)| then find the possible values of 'x' and it's range

Answer 1

Answer:

graph enclosed

Step-by-step explanation:

find the value of f(x)= |x-4|+|x-3|+....+|x|+|x+1|+....|x+4|​.

x f(x)

-8 72

-7 63

-6 54

-5 45

-4 36

-3 29

-2 24

-1 21

0 20

1 21

2 24

3 29

4 36

5 45

6 54

7 63

8 72

If f(x)=|sin(|cos(x)|)| then find the possible values of 'x' and it's range

All value of x exist

|Cos(x) | will lie in 0 to 1

=> f(x) range = Sin0 to Sin1