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Select the correct answer.
Consider the function given below.

f(x) = |x − 5| + 2

Which of the following statements about the y-values of the graph of the function is true?

A. The y-values are all less than or equal to 2.
B. The y-values are all greater than or equal to 2.
C. The y-values are all less than or equal to 5.
D. The y-values are all greater than or equal to 5.
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Answer:

B

Step-by-step explanation:

No matter what x is, y will always be positive, because the absolute value of x-5 will always be positive. The smallest value that y can be is when x is 5, because then the absolute value of x-5 is 0, and then y is 2. Therefore, the correct answer is B. Hope this helps!

The y values are all greater than or equal to 2. The correct option is B.

What is a Function?

A function is a law that relates a dependent and independent variable.

The function is

f(x) = |x − 5| + 2

The domain of the function is all negative and positive integers.

The range is all the possible function values, the function value will always be greater than or equal to 2.

At x = 5 , f(x) = 2

Therefore, the y values are all greater than or equal to 2. The correct option is B.

To know more about Function

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