Factoring
What is factoring polynomials?
Factoring polynomials is showing the product of a polynomial as 2 or more factors
In general what are minimum and maximum referred to as?
They are referred to as an extrema
What is decreasing interval?
Decreasing interval is when the graph goes down from left to right
What is increasing function?
A function is increasing on an open interval
What is Axis?
The line over which a parabola is symmetric
Is there only one factoring technique?
No, there are a lot of different factoring techniques
Where does a maximum or minimum of a function occur?
It occurs at a point where the derivative of a function is zero
What is increasing interval?
Increasing interval is when the graph must be going from left to right
What is a decreasing function?
A function decreasing on a open interval
What is branch?
The term for each of two distinct sections of the graph of a hyperbola
How do you factor out the greatest common factor?
take out the biggest number they have in common then simplify what's left
What is a relative max or min?
A curve that has a horizontal tangent line at that point, but is not the highest or lowest value that the function attains
What is closed interval?
Has brackets on end of points
What is a constant function?
A function is constant on a open interval
What is center?
For an ellipse and hyperbola the midpoint between the foci. For a circle the fixed point from which all points on the circle are equidistant
How do you factor when there is a fraction in the equation?
Take out the fraction and then multiple the fraction by the remaining numbers of the equation
What is an absolute max or min?
That the curve has attained its highest or lowest value, it occurs either at an artificial point or an end point
What is open intervals?
a<x<b
What is an even function?
The function f is an even function if f(-x)=f(x) for all x in the domain of f
What is a circle?
The set off all points equidistant from a given fixed point
How to factor out the differences of squares?
() () one part is plus and one is minus
What is a second derivative test?
A function that if it has a critical value at x=c, then that value is a relative max if f(c)<0 and it is a relative min if f(c)>0
What is half open interval?
Bracket on A, and parentheses on B
What is an odd function?
The function f is an odd function if f(-x)=-f(x) for all x in the domain of f
What is conic?
The intersection of a plane and a right circular cone