Question

Explain the difference between the graphs of :

Answer 1

The only difference is that for any positive value of 'x' g(X) and h(X) will be same and for any negative value of 'x' g(x) and h(x) will be different.

Explanation:

Given

`f(x)= |x|`

`g(x) = |x+5|\\\\h(x)= |x| +5`

|x| is modulus of x so modulus makes negative value as psoitive

for example

`|3|= 3`

`|-3|=3`

now we will solve for the above

For
`x=4`

`g(4)=|4+5|\\=|9|\\=9`

and

`h(4)=|4| +5\\=4 +5\\=9`

Now for
`x=-4`

`g(-4)=|-4+5|\\=|1|\\=1`

and

`h(-4)=|-4| +5\\=4 +5\\=9`

so for positive value it is same and for negative value it is different