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Sagot :
The range and the vertex is 4 ≤ y < [infinity] and (5, 4).
To find the vertex, we can take the derivative of the function and set it equal to 0:
y' = |x − 5|' = 0
=> x − 5 = 0
=> x = 5
Then, we can plug x = 5 into the original equation to find the y-value at the vertex:
y = |x − 5| = |5 − 5| = |0| = 0
So, the vertex of y = |x − 5| is (5, 4).
To find the range, we need to consider the range of the absolute value function. The range of the absolute value function is:
−[infinity] < y < [infinity]. So, the range of y = |x − 5| is also −[infinity] < y < [infinity] (or 4 ≤ y < [infinity]).
To know more about the range refer to the link brainly.com/question/28135761
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