Which graph represents the function f(x) = 4|x|?

The graph of the given function : f(x) = 4|x| is attached below :

Before plotting the graph fir finding the nature of the function f(x) such as Domain, Range, Intervals of increasing and Decreasing of the function.

1) Domain : Since |x| can take any real value so the domain of the given function 4|x| is every real number.

⇒ Domain of 4|x| = (-∞,∞)

2) Since, the absolute value function only gives positive value and 0. So the Range of the function is every positive real number including 0

⇒ Range of 4|x| = [0,∞)

3) If we check the value of 4x when x<0 then the value is negative

⇒ The function 4|x| is decreasing in the interval (-∞,0]

4) If we check the value of 4x when x>0 then the value is positive

⇒ The function 4|x| is increasing in the interval [0,∞)

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step-by-step explanation:

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step-by-step explanation: