Respuesta :
Using the function concept, it is found that:
1. No
2. Yes
3. No
4. No
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- The function definition states that: y will be a function of x if for each value of x, there is only one corresponding value of y.
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Item 1:
Supposing x = 0:
[tex]0^2 + (y - 4^2) = 16[/tex]
[tex]y^2 - 8y + 16 = 16[/tex]
[tex]y^2 - 8y = 0 \rightarrow y(y - 8) = 0[/tex]
Two solutions, so No.
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Item 2:
Supposing x = 1:
[tex]2|1| + y = 6[/tex]
[tex]y = 4[/tex]
One solution, so Yes.
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Item 3:
Supposing x = 1:
[tex]y^2 = 8 + 1 = 9[/tex]
[tex]y = \pm \sqrt{9} = \pm 3[/tex]
Two solutions, so No.
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Item 4:
Supposing x = 0:
[tex]y^2 = 9 + 0 = 9[/tex]
[tex]y = \pm \sqrt{9} = \pm 3[/tex]
Two solutions, so No.
A similar problem is given at https://brainly.com/question/15329959
