Polynominals And Curve Sketching Flashcards
What is the coefficient?
The number in front of the x
What is the degree?
The highest power
What is a term
E.g. +cx
What is the constant term?
The number by itself at the end
Why do we use functions?
So that, once you’ve chosen x, you can get a unique y value from it
What things are needed in order to sketch a quadratic graph?
1- the y intercept
2- the roots
3- the shape (U or n)
If y=x2 what is y=x2 + 2?
Moved up 2 values
If y=x2, what is y=x2 - 4?
Moved down 4 values
If y=x2, what is y=2x2?
It is stretched parallel to the y axis
If y=x2, what is y=-x2?
Reflection in the x axis
In the form f(x)=xn or y=xn, what shape is the graph when n is even?
It takes the shape of a quadratic
In the form f(x)=xn or y=xn, what shape would the graph be when n is odd
It would be a cubic shaped graph
What is the point of contact?
Occurs in cubic graphs when the line touches the point once
Define an even function:
The y axis is a line of symmetry
Define an odd function:
It has rotational symmetry of order 2 about the origin
