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The graph shown below expresses a radical function that can be written in the form (x) =alx+1)+c. what does the graph tell you about the domain and the range of this function? 56 9 10 A. The domain is (-0,k], and the range is [C,). B. The domain is [C,), and the range is [ - k.). C. The domain is (-0,09), and the range is (-0,9). D. The domain is [ - k.), and the range is (-0,c].

The graph shown below expresses a radical function that can be written in the form x alx1c what does the graph tell you about the domain and the range of this f class=

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SOLUTION

The domain can be determined from the x-axis.

Looking at the function, we will notice that k is an x-value, so the domain should be from negative k to positive infinity.

Hence the domain is

[tex]\lbrack-k,\infty\rbrack[/tex]

The range can be determined from the y-axis.

c is a y-value, so the range should be from negative infinity to positive c. So, the range is

[tex]\lbrack-\infty,c\rbrack[/tex]

Therefore, the correct answer is option D.

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