Finding Domain Algebraically of Square Root Function

After isolating the radical, what is the next step?

• Square both sides

• divide

• plug in the solution

• isolate the variable

Tags

CCSS.HSA.REI.A.2

• 4
• 4, -1
• -1
• -4

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CCSS.HSA.REI.A.2

Find the Domain of the function.

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the function in this graph?

y = √(x) + 3

• (-infinity, 3]

• [3, infinity)

• (-infinity, 0]

• [0, infinity)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find the Domain of the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find the Domain of the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

When finding the domains of square root functions such as the one shown algebraically, we must

• set the part under the square root less than zero and solve for x.

• set the part under the square root greater than or equal to zero and solve for x

• set the part under th square root not equal to zero and solve for x.

• set the square root equal to zero and solve for x.

When considering the domain of a polynomial function, such as the one shown what restrictions must be considered?

• denominator can't be zero

• numerator can't be zero

• square root can not be negative

• no restriction for this at all