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First, look inside the radical!
WHAT IS A RADICAL??
THIS IS THE "RADICAL"
Inside the radical, you should find the variable. For these problems.
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What you want to look at, are they adding or subtracting a number.
If they add a number, the graph moves to the left.
If they subtract a number, the graph moves to the right.
g(x) is shifted to the right by 5 units
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This means the y-intercept of g(x) is (0,cubedrootsymbol(-5))
Thedomain is all real numbers greater than or equal to five since we cannot have a negative numbe rin the cube root
The range of g(x) is all real numbers. we can obtain any real number by taking the cube root of a real number
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to find the x-intercept of g(x), set y = 0 and solve
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0 = (cubedrootsymbol)(x-5)
0 = x-5
x =5
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This makes the x-intercept of g(x) to be (5,0)
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