Square Root
sqrt(21 - 4k) = k
k = 3, -7
root(3)(3x) = 6
x = 72
xn*xm = ?
xn+m . . . add the exponents
Give the end point for the graph of
y = 3sqrt(x - 1) -6
(1, -6)
(3x^4y^8)/(12x^5y^2)
y^6/(4x)
p = sqrt(6 - p)
p = 2, -3
root(3)(x + 4) = 3
x = 23
x^n/x^m = ?
x^(n-m)
Give the center point for the graph of
y = -root(3)(x + 3) - 2
(-3, -2)
Rewrite using a radical and without a negative exponent
1/3x^(-3/5)
1/(3root(5)(x^3)
sqrt(4b - 24) = b - 6
b = 6, 10
-root(3)(-x + 5) = 5
x = 130
x^-n
What does the negative exponent do?
1/x^n
Put the number into the bottom of a fraction
HOW do you find the points for the graph of
y = 4sqrt(x)
multiply the y values by 4 (vertical stretch factor 4)
(4x^3)^2/(2(x^(2/3))^3)
8x4
sqrt(x-3)+4 = -x + 13
x = 7 or 12
4root(3)(x - 2) + 3 = 19
x = 66
(x^n)^m = ?
x^(n*m)
Multiply the two exponents together
Graph the equation (include the end point and at least 2 other integer points)
y = 3sqrt(x - 1) - 6
Points: (1, -6), (2, -3), (5, 0), (10, 3)
(x^(1/3)*x^(5/6))/x^(1/6)
x
3 + sqrt(3p - 11) - p = 0
p = 5, 4
x + 1 = root(3)(3x + 1)
x = 0, -3
True/False:
8x^-2 = 1/(8x^2)
False,
8x^-2 = 8/x^2
Graph the equation (include the center point and at least two other integer points)
y = -root(3)(x + 3) - 2
Points: (-11, 0), (-4, -1), (-3, -2), (-2, -3), (5, -4)
sqrt(3x^2y^4)/sqrt(12y^5)
x/(2sqrt(y))