Radical Equations
Square Roots
Solving Radicals
Misc.
Definitions
100

The restrictions of 

y=x^(1/2) or y=sqrt(x)

What is x greater than or equal to zero.

100

The value of root f(x) when f(x) is less than zero for all x.

What is undefined.

100

The root(s) of 

sqrt(x+5) -3 = 0


What is 4

100

Write an equation with roots -3, +4

What is 

f(x) = (x+3)(x-4) ?

100

An invalid solution to an equation

What is extraneous root?

200

Solve

sqrt(x^2 -9) = 4

What is 

x = -5, +5

200

The domain and range of 

sqrt(3x+1)



what is 

x in [-1/3 ,OO ), y in [0, OO) ?

200

The root of 

sqrt(x) = 0 


What is 0.

200

The point (2,3) that would be transformed from f(x) to 

sqrt(f(x))

What is 

(2,sqrt(3))

200

A function that has a square root in the equation.

What is a radical equation?

300

Solve

sqrt(3x-2)+4=6

What is 

x = 2

300

The domain and range of f(x)=(x+3)^2-1, and the root f(x) graph.

What is x is all real, and y greater than equal to -1 for f(x). -4-2 or equal too, y is greater than or equal to 0 for root f(x).

300

The roots of 

sqrt(x^2 +7x +21) =3




(x^2+7x+21)^1/2=3.

What is x=-3, -4

300

The transformations that take place in this equation 

f(x) = sqrt(x+5)



f(x)= 4(-3(x-3))^1/2+1.

Move horizontally -5


300

What happens to 

sqrt(f(x)) 

when compared to f(x) between y=0, andy=1.

What is 

sqrt(f(x))

is greater.

400

Solve 

root(3)(2-3x)+2 = 1

What is x = 1?

400

the shape of the graph of (f(x))^1/2 if f(x)=-x+4

What is a half of a semi circle

400

The roots of 

sqrt(x+5) = x+3




(x+5)^1/2=x+3


What is x=-1

400

The domain and range of y=-2x-2, and its root function

What is all real for x and y. X is less than or equal to -1, and y greater than or equal to zero.

400

How does the y values in the graph of f(x) compare to the graph or (f(x))^1/2 as x approaches infinity?

What is f(x) is always greater.

500

Solve 

root(3)(x^2 +5x +3)-7=-4


what is x = -8, +3 ? 

500

The graph of 

sqrt(-(x+3)^2 -1




(f(x))^1/2 if f(x)=-(x+3)^2-1

What is there is no graph ? 

500

The roots of 

3sqrt(-(x+3)^2) +3 =0


What is none.

500
Change the equation so that y=(2(x-3))^2-5 has a a value than a b value
What is y=4(x-3))^2-5.
500
Whats the point o nthe graph of (f(x))^1/2 if it is (5,-1) on f(x)
What is does not exist.
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