Answer:
The correct graph is Graph 3.
Step-by-step explanation:
We are given a modulus function f(x) by:
[tex]f(x)=2|x|[/tex]
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:
[tex]f(x)=2\times |1|\\\\f(x)=2[/tex]
Graph 1:
When x=1
we have:
[tex]f(x)=0.5\neq 2[/tex]
Hence, Graph 1 does not represent the given function.
Graph 2:
when x=1 we have:
[tex]f(x)=1\neq 2[/tex]
Hence, Graph 2 is not the answer.
Graph 4:
when x=1 we have:
[tex]f(x)<2[/tex]
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.
