Rules of Exponent
(5xy13)0
1
The graph of an exponential function look like a...
curve.
Simplify -3x(2x2-4)
-6x3+12x
What is the GCF of 12x2-8x3 ?
4x2
y=2x2-6x+3
1. Does the parabola open up or down?
2. Is the vertex a maximum or minimum point?
1. Opes up because a = 2.
2. The vertex is the minimum point.
15x12
Is the function below growth or decay? Explain why.
y=5(1.08)x
Growth, because b>1
Simplify (6d-10d3+3d2) - (5d3+3d-4)
-15d3+3d2+3d+4
Factor 15x2-10x3 completely
5x2(3-2x)
y=3x2-6x+1
What is the axis of symmetry?
x = 1
Simplify (-3x3y2)(5xy-1)
-15x4y
Suppose a new piano costs $9,000 and depreciates 5% each year. Write an equation that gives the piano's value when it is x years old AND predict the piano's value at 10 years.
y=9,000(.95)x
After 10 years the piano will be worth $5,388.63
Multiply and simplify (7x-6)(5x+6)
35x2+12x-36
Factor x2-9x+14 completely
(x-7)(x-2)
y=3x2-6x+1
Where is the vertex?
(1, -2)
Simplify (2x2yz4)3
8x6y3z12
The population of sparrows double each year. If we started with 100 sparrows, how many sparrows would be on campus after 3 years?
y=100(2)3
800 sparrows
Simply (2x-3)2
4x2-12x+9
Factor 2x2+7x+3 completely
(2x+1)(x+3)
Use your graphing calculator to find the zeros of
y=x2-2x-3
(-1, 0) and (3, 0)
Simplify 3x5/15x2y
x3/5y
You deposit $500 in an investment account that earns 4% interest compounded monthly. What is the balance of the account after 3 years?
y=500(1+.04/12)12(3)
$563.64
Cubic Polynomial
Factor completely 12x4-3
3(2x2-1)(2x2+1)
Is the function below quadratic? Why or why not?
(1,9) (2,14) (3,21) (4,30) (5,41) (6,54)
Yes, the function is quadratic because the 2nd difference are constant (all plus 2).