Which graph represents the function f(x) =2|x|?
2 answers:
<h2>Answer:</h2>
The correct graph is Graph 3.
<h2>Step-by-step explanation:</h2>We are given a modulus function f(x) by:
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:
Graph 1:
When x=1
we have:
Hence, Graph 1 does not represent the given function.
Graph 2:
when x=1 we have:
Hence, Graph 2 is not the answer.
Graph 4:
when x=1 we have:
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.
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