Respuesta :
the roots are simple
ok, so
remember some nice rules
if the zeores of the function (where the graph hits the x axis) are r1,r2...rn the the factors are (x-r1)(x-r2)...(x-rn)
if the degree (how many factors, or x^degree) is odd, then the ends of the graph go in oposite directions, from bottom left to top rght
if the leading coefient (first term) has a negative like f(x)=-3(x-r1)(x-r2)...
then the graph is reflected across the x axis
if the degree is even, the ends go in same direction
if leading coefient is negative, then ends both go down
the roots are wehre the graph hits te x axis
if yo hav a root repeat, that's called a multiplicaty
(x-r1)^2 is even multiplicy
(x-r1)^3 is odd
odd multilicity means the line goes though the graph
even means that the graph just touches the graph at that point and bounces off
this is confusing so sorry
ok, so
remember some nice rules
if the zeores of the function (where the graph hits the x axis) are r1,r2...rn the the factors are (x-r1)(x-r2)...(x-rn)
if the degree (how many factors, or x^degree) is odd, then the ends of the graph go in oposite directions, from bottom left to top rght
if the leading coefient (first term) has a negative like f(x)=-3(x-r1)(x-r2)...
then the graph is reflected across the x axis
if the degree is even, the ends go in same direction
if leading coefient is negative, then ends both go down
the roots are wehre the graph hits te x axis
if yo hav a root repeat, that's called a multiplicaty
(x-r1)^2 is even multiplicy
(x-r1)^3 is odd
odd multilicity means the line goes though the graph
even means that the graph just touches the graph at that point and bounces off
this is confusing so sorry
Answer:
Items to include in the response are:
1. the x-intercepts of the graph, or the zeros of the function
2. the multiplicity of its factors
3. a point on the graph that is not a root, or the value of the leading coefficient