Graphing
Finding all the zeros
What is x-intercepts
A=P(1+r/k)^(tk)
What is Compound Interest?
The three points into graphing a logarithmic function will have?
(1,0) , (b,1) , (1/b, -1)
The three points into graphing a basic exponential will have?
(0,1) , (1,b) , (-1,1/b)
a simplified method for dividing a polynomial when trying to find the roots
What is synthetic Division
Find the End Behavior
2x^3+x^2-12x+9
Left down and right up
Identify the formula:
x^2+5x+6=0
Quadratic Formula
Exponential Form
Log 3 81=4
3^4=81
Convert to Exponent:
ln 2=x
e^2=x
Finish the division: x^3 - 3x^2 - 10x + 24
1 | 1 -3 -10 24
x^2 - x - 12
Finding whether x values and y values go on infinity or stop at a certain value.
What is the Domain and Range?
Identify the formula:
3x^2+3x-36=0
AC Method
Expand log:
log√x
1/2 log x
Solve:
ln x=3
x≈20.08554
See if the the remainder equals to 0:
(x^3+6x^2-21x-18) ÷ (x-3)
Yes, it equals to 0
x^2+9x+6
If the point (2,0) is double and (-2,0) passes through and (0,0) is triple. What are the multiplicity?
Mult: 2, 1, and 3
Solve using formula in question 3:
3x^2+3x-36=0
x=-4 and x=3
Solve Logarithm
log 2 (5) + log 2 (x)= log 2 (x+20)
x=5
Solve
ln (e^x) = ln (1)
x=0
See if the synthetic has a reminder of zero and give me the new equation:
x^3+2x^2-13x+10 ÷ (x-1)
Yes, the reminder equals to zero.
x^2+3x-10
End Behavior, Y-intercepts, X-intercepts, Multiplicity
What are the steps in graphing a polynomial?
Solve using the formula for question 2:
x^2+5x+6=0
x=-2 and x=-3
Simplify
log 6 (24) + 2 log 6 (3)
x=3
Solve:
e^-3x = 10
-0.768=x
Give me all the zeros in question 4.
(1,0) , (-5,0) , (2,0)