Respuesta :

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f(x) = 2|-4x + 5| - 4

Solution to Example 3

The range of |-4x + 5| is given by 

|-4x + 5| ≥ 0 

Multiply both sides of the inequality by 2 to obtain 

2 |-4x + 5| ≥ 0 

Add -4 to both sides of the above inequality to obtain 

2 |-4x + 5| - 4 ≥ - 4 

The range of 2 |-4x + 5| - 4 may also be written in interval form as follows 

[-4 , ∞)The domain of f above is the set of all values of x in the interval ( -3 , +∞) 
example  

The domain of the function is the interval exists (-∞,∞).

The range of the function is the interval exists [-1,∞).

What is an absolute value of a function?

An absolute value function exists as a function that has an algebraic expression within absolute value signs. Recall that the absolute value of a number stands its distance from 0 on the number line.

The vertex of the function is the point (-3,-1).

The domain of the function is the interval exists (-∞,∞).

The range of the function is the interval exists [-1,∞).

To learn more about absolute value function

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