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Ulleksa [173]
3 years ago
9

Given the following absolute value function sketch the graph of the function and find the domain and range.

Mathematics
1 answer:
k0ka [10]3 years ago
6 0



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

Solution to Example 3

<span><span><span>The range of |-4x + 5| is given by 

|-4x + 5| ≥ 0 

</span><span>Multiply both sides of the inequality by 2 to obtain 

2 |-4x + 5| ≥ 0 

</span><span>Add -4 to both sides of the above inequality to obtain 

2 |-4x + 5| - 4 ≥ - 4 

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

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

</span>
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Step-by-step explanation:

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