Question

Which graph represents the function f(x) = 1/3|x|?

Answer 1

Seeing from the graph I've provided above, the correct answer would be D, the last one.

Answer 2

The correct option is 4.

Explanation:

The given function is,

`f(x)=(1)/(3)|x|`

It is a modulus function and its parent function is,

`g(x)=|x|`

In a function,

`f(x)=k|x|`

If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.

Since k is
`(1)/(3)`, therefore the shoes the vertical compression.

put x=0 in the given function.

`f(0)=(1)/(3)|0|=0`

Put x=3.

`f(3)=(1)/(3)|3|=1`

Therefore the graph passing through (0,0) and (3,1).

Thus fourth option is correct.