Answer:
Third option: [tex]x = -2[/tex] and [tex]x = 2[/tex]
Step-by-step explanation:
Given:
[tex]|-2x|=4[/tex]
For a modulus function, if [tex]|f(x)|=a[/tex], then,
[tex]f(x)=\pm a[/tex]
Here, [tex]f(x)=-2x[/tex], [tex]a=4[/tex]
∴ [tex]-2x=\pm 4\\ -2x=-4\textrm{ or } -2x=4\\ x=\frac{-4}{-2}\textrm{ or }x=\frac{4}{-2}\\ x= 2\textrm{ or }x=-2[/tex]
Therefore, the third option is the correct answer as the graph has [tex]x[/tex] values as -2 and 2
