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The graph shows the function g(x) for a restricted domain.



Which is the function g(x) for a restricted domain?

g(x) = ; x –4
g(x) = ; x 0
g(x) = ; x –4
g(x) = ; x 0

The graph shows the function gx for a restricted domain Which is the function gx for a restricted domain gx x 4 gx x 0 gx x 4 gx x 0 class=

Respuesta :

[tex]g(x) = \sqrt[3]{x+4};\ x \ge -4[/tex]

cube root graph translted 4 right and the nrestricted to x∈[-4,inf)

Answer: The correct option is option 3.

Explanation:

In a graph x-axis represents the domain and y-axis represents the range of the function.

From the given graph it is noticed that the function is defined for the value [tex]x\geq -4[/tex]. It means the domain of the function is [tex]x\geq -4[/tex].

So, the option 2nd and 4th are incorrect.

From the figure it is noticed that the value of the function is 0 at x = -4.

The value of the first function at x = -4 is -2, therefore 1st option is incorrect.

The standard equation of the given graph is [tex]\sqrt[3]{x}[/tex], since the graph is shifted 4 units left along the x-axis, therefore the equation of the given graph is [tex]\sqrt[3]{x+4}[/tex]

So, the correct option is option 3.