Polynomial Functions, vocabulary and analyzing graphs
1
# of real zeros?
3
# of real zeros?
6
# of real zeros?
1
# of relative maximum points?
2
# of relative maximum points?
3
# of relative minimum points?
0
# real zeros?
2
# real zeros?
3
# real zeros?
4
# real zeros?
bounce or touch
A zero of a polynomial with even multiplicity has what behavior on the polynomial's graph?
cross
A zero of a polynomial with odd multiplicity has what behavior on the polynomial's graph?
x-5
If 5 is a zero of a polynomial, then what would be a factor of the polynomial?
No
Is there a relative maximum at x = 0?
Yes
Is there a relative minimum at x = 0?
4
Maximum # of zeros?
6
Maximum # of zeros?
Odd
Odd or even?
end behavior
The behavior of the graph as x approaches positive infinity or negative infinity.
relative minimum
The lowest point in a particular section of a graph.
zeros
The x intercepts or places where the graph crosses the x axis.
Quadratic formula
This method can be used to find the solutions of a quadratic equation when it can't be solved by factoring
odd
What type of polynomial functions that are symmetric to the origin (even or odd)?
even
What type of polynomial functions that are symmetric to the y-axis (even or odd)?
Y intercept
Where the graph crosses the y axis
polynomial function
a function consisting of variables and coefficients that involves only addition, subtraction, multiplication, and positive integer exponents
turning point
a point where the graph changes direction from upwards to downwards or from downwards to upwards
cubic function
a polynomial function of degree 3
domain
all possible x values
range
all possible y values
quintic function
fifth degree polynomial function
quartic function
fourth degree polynomial function
multiplicity
how many times a particular number is a zero for a given polynomial function
relative maximum
the highest point in a particular section of a graph
absolute maximum
the highest point over the entire domain of a function or relation
absolute minimum
the lowest point over the entire domain of a function or relation
