Question

Which graph represents the function f(x) =2|x|?​

Answer 1

the third graph

Answer 2

The correct graph is Graph 3.

Explanation:

We are given a modulus function f(x) by:

`f(x)=2|x|`

We will go through the following graphs by checking the value of the graph at some value of x and see whether the value on the graph at that x matches the value of f(x) at that particular x.

when x=1 we have:

`f(x)=2* |1|\\\\f(x)=2`

Graph 1:

When x=1

we have:

`f(x)=0.5\\eq 2`

Hence, Graph 1 does not represent the given function.

Graph 2:

when x=1 we have:

`f(x)=1\\eq 2`

Hence, Graph 2 is not the answer.

Graph 4:

when x=1 we have:

`f(x)<2`

Hence, graph 4 is not the correct graph to represent f(x).

Hence, we are left with Graph 3.

When we plot the function f(x) we see that it matches the graph 3.