The graph mentioned in option B is correct.
We have the the following function -
f(x) = -3 |x|
We have to select the correct graph from the given ones.
State the property Modulus.
For a function f(x) = x, which is real in nature -
f(x) = |x| = [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]
We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -
f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]
For every negative value of x -
y = f(x) = 3x = negative value in a multiple of 3.
For every positive value of x -
y = f(x) = - 3x = negative value in a multiple of 3.
Hence, the graph mentioned in option B is correct.
To solve more questions on Modulus, visit the link below-
brainly.com/question/2288321
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