Which absolute value function, when graphed, will be narrower than the graph of the parent function, f(x) = |x|? f(x) = |x| – 3 f(x) = |x + 2| f(x) = 0.5|x| f(x) = 4|x|

Respuesta :

That would be f(x) = 4|x|. Reason is, the bigger the number that's multiplied by |x|, the narrower the graph will be. The opposite is true for the smaller the number, & so f(x) = .5|x| will be wider.
Hope this helps!

f(x) = 4|x| is the function narrower than the parent function , Option D is the correct answer.

What is an absolute function ?

An Absolute function is a function that returns a positive value at any given point.

It is given that

The parent function is

f(x) = |x|

To find the function which will be narrower , it will be plotted to check

It is the known fact that when a function is multiplied by a number greater than 1 , the resulting function gets narrower , This can be easily identified from the graph.

f(x) = 4|x| is the function narrower than the parent function , Option D is the correct answer.

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