What are the domain and range of f(x) = 2|x – 4|? domain: x <= 2; range: (-infinity,infinity) domain: (-infinity,infinity); range: f(x)>= 0 domain:(-infinity,infinity); range: f(x) <= 0 domain: x>= 2; range: (-infinity,infinity)

Respuesta :

Answer:

domain: (-infinity,infinity);

range: f(x)>= 0

Step-by-step explanation:

f(x) = 2|x – 4|

The domain is the input values or the values that x can take

We can use any value we want for x

Domain: -infinity to infinity

The range is the output values

Since it is an absolute value, the smallest value it can take is 0, it can increase as large as it wants

Range: 0, infinity

The domain of the function will be (-∞,∞) and the range will be range: f(x) = 0

What is domain and range?

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function.  

The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

f(x) = 2|x – 4|

The domain is the input values or the values that x can take

We can use any value we want for x

Domain: (- [tex]\infty[/tex], [tex]\infty[/tex]);

The range is the output values

Since it is an absolute value, the smallest value it can take is 0, it can increase as large as it wants

Range: (0, [tex]oo[/tex])

So the domain: of the function will be  (- [tex]\infty[/tex], [tex]\infty[/tex]); and the range will be range: f(x)>= 0

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