Domain and Range
Domain for the function
f(x) = 2sqrt(x-1) +2
What is
[1,+oo)
Endpoint for function
f(x)=-3sqrt(x+1)+4
What is the point (-1,4)?
Description of how the parent function
f(x)=sqrt(x)
is transformed by the coefficient of 2
f(x)=2sqrt(x)
What is; "It increases 2 times more (faster) towards positive infinity." or "The graph goes upwards 2 times more than the parent function."
The opposite operation for solving
sqrt(x)=2
What is squaring both sides to get x=4
For the equation
18+7h^(1/2)=12
the error was
18+sqrt(7h)=12
What is the radical should only be on the variable h unless there are parentheses including the 7?
Range for
f(x)=-3sqrt(x+1) +4
What is
(-oo,4]
Endpoint for function
h(x)=1/3sqrt(x-3)+1
What is
(+3,+1)
Describes how the parent function
g(x)=sqrt(x)
is transformed by a negative coefficient
g(x)=-sqrt(x)
What is the reflection of
g(x)=sqrt(x)
over the x-axis
The opposite operation used for solving
(d+2)^(1/3) =7
What is "cubing both sides"?
d+2=7^3
DAILY DOUBLE!
Not identifying an "extraneous" solution
What is not checking ALL of your results EVERY SINGLE TIME when solving a radical or fractional exponent equation.
Range for
f(x) 3/2sqrt(x-4) -5
What is
[-5,+oo)
Endpoint for
g(x)=-sqrt(x)-4
What is
(0,-4)
Describes how the parent function's graph
g(x)=sqrt(x)
is transformed by the coefficient of a
-1/2
h(x)=-1/2sqrt(x)
What is "The graph / curve is flattened out -- it decreases half as fast towards negative infinity, and it is reflected over the x-axis." or an equivalent description
Check your results every single time you have these 2 sorts of equations.
What are "radical" and "fractional exponent" equations?
The order we use when writing the domain or range in Interval Notation.
What is "from least to greatest"?
Range for
f(x)=-5sqrt(x+3)-1
What is
(-oo, -1]
The function that translates the parent function of
f(x)=sqrt(x)
left 1 and up 2
What is
f(x)=sqrt(x+1)+2
Description for how the parent function's graph
f(x)=sqrt(x)
is changed with these 2 transformations
What is "reflected over the x-axis" and "decreasing 2 times as fast towards negative infinity"? or equivalent descriptions
"FOIL" using the distributive property-- is needed when you have this many terms that do not combine on the side of the equation opposite the radical.
What is 2 or more?
Range in interval notation was written
[-1/2,-oo)
What is written out of order? or What is written from greatest to least?
Domain for
f(x)=-3sqrt(2x+1)+4
What is
[-1/2,oo)
The function that translates the parent function of
f(x)=sqrt(x)
right one unit and down 3 units
What is
f(x)=sqrt(x-1)-3
Describes how the parent function
f(x)=sqrtx
is transformed by a negative coefficient of -5
f(x)=-5sqrt(x)
Intentionally selecting x-values that will form a perfect square under the radical when graphing.
What is "choosing your table-of-values" wisely? or equivalent question
Range interval was incorrectly written
(6,oo]
What is mixing up the hard-stop bracket with the "soft" parentheses for infinity? Or What is [6.oo) written with the bracket / parentheses reversed?