The function g(x) is graphed on the coordinate grid.
which statements are true of g(x)? check all that apply.

The correct options are 1, 3 and 5.

Step-by-step explanation:

The given function is a continuous increasing curve which is increasing at decreasing rate. It means it is the graph of a radical function.

Parent radical function is

It means function g(x) is the translation of function . Option 1 is correct.

Domain is the set of input values.

Function is defined for all x ≥ -3.

Domain = { x |  x ≥ -3 }

Option 2 is incorrect.

Range is the set of output values.

The values of the function are always greater than or equal to -1.

Range = { y |  y ≥ -1 }

Option 3 is correct.

The graph of parent function shifts 3 units left and 1 unit down to get the graph of g(x). So the function g(x) is defined as

Option 4 is incorrect.

The function g(x) can be translated right 3 units and up 1 unit to create the function .

Option 5 is correct.

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