Inverses
Solving Square Root Equations
Solving Cube Root Equations
Graphing Square Root and Cube Root Functions
Interpreting Square Root and Cube Root Functions
100
Find the inverse algebraically.
f(x)=x^3+8
f^-1(x)= root(3)(x-8)
100
sqrt(3p-14) = sqrt(26-2p)
p=8
100
6+(a-3)^(1/3)=0
a=-213
100
What is the "starting point" of the following square root function?
g(x)=sqrt (x-3)+4
(3,4)
100
What is the domain and range of all cube root functions?
(- ∞, ∞)
200
Using a graphing calculator, graph the following function. Is the inverse a function? Explain how you know.
f(x)=x^3+8
Yes, passes HLT
200
5 sqrt(b-9) = 50
b = 109
200
2 root(3)(2w-6) = 8
w = 35
200
Graph the following
h(x)=3sqrt(x+4)-1
See the board
200
What is the parent function? Describe the transformations.
f(x)=1/2 root (3)(x-6)+7
Transformations: compress by 1/2, right 6, up 7; Parent function:
y= root (3)(x)
300
Find the domain and range of the inverse of the function.
f(x)=-sqrt(x+5)
D: (- ∞, ∞) R: [-5, ∞)
300
-3(2k+5)^(1/2)= 12
No solution
300
root(3)(z^2+9+3z)=root(3)(-3z)
z = -3
300
Graph the following
j(x)=root (3)(x-2)+5
See the board
300
Write an equation with the following information. A square root function with a stretch of 3 and a horizontal shift left 9 units.
y=3sqrt(x+9)
400
Write the equation of the inverse.
f^-1(x)=(x-4)^2+2
400
sqrt(-9-3x) = x + 3
x = -6 (extraneous) and x = -3
400
root(3)(j^2+3j)=1
j=(-3 +- sqrt13)/2
400
Graph the following. What is the domain and range?
k(x)=sqrt(-x-1)-6
See the board; D: (- ∞, -1] R: [-6, ∞)
400
Write an equation for the function graphed below.
y= root(3)(x-4)+2