Answer:
B
Step-by-step explanation:
The domain is (- infinity, infinity) (or the set of all real numbers) bc the function goes never ending to the left and right
The range is f(x) is greater than or equal to 3 bc the y value 3 is the turning point. Also, it's "greater than or equal to" bc the graph opens upward
The domain and range of the function f(x)= |x-4|+3 are the set of real numbers and every real number greater than or equal to 3 respectively.
The domain of a function is the set of all possible inputs of the function. The range of a function is the set of all possible outputs of that function.
The function is given:
f(x)= |x-4|+3.
We can substitute any value of x to the given function. This means that the domain of the function is the set of all real numbers.
The lowest value that the given function can have is 3. This is possible only when the value of x = 4.
It cannot go lower than that as a modulus or absolute value is used in the function.
Thus, the range of the function can be defined as the set of all real numbers greater than or equal to 3.
Therefore, we have found that the domain and range of the function f(x)= |x-4|+3 are the set of real numbers and every real number that is greater than or equal to 3 respectively.
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