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Sveta_85 [38]
4 years ago
10

Graph the function f(x)=|x|+3 .State the domain and range .​

Mathematics
1 answer:
KonstantinChe [14]4 years ago
4 0

Answer:

Domain is all real numbers. Range is [3,\infty)

Step-by-step explanation:

The function f(x)=|x|+3 is a transformation of the parent function f(x)=|x| by moving the function up by 3 units.

So, the graph of the function is shown below.

From the graph, it is clear that the x values has no limitation and hence can take any real values. Domain is the set of all possible x values.

So, domain is the set of all real numbers.

Range is the set of all possible values for y for the given domain.

From the graph, the minimum value of y is at the point ((0,3). So, the minimum value of y is 3. The y value then goes on increasing towards infinity.

Therefore, range is a real number greater than or equal to 3.

So, range is y\geq 3 or  [3,\infty)

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