The degree of a polynomial function helps us to determine the number of
x -intercepts and the number of turning points. A polynomial function of
degree is the product of
factors, so it will have at most
roots or zeros, or
x -intercepts. The graph of the polynomial function of degree
must have at most
turning points. This means the graph has at most one fewer turning point than the degree of the polynomial or one fewer than the number of factors.
A
continuous function has no breaks in its graph: the graph can be drawn without lifting the pen from the paper. A
smooth curve is a graph that has no sharp corners. The turning points of a smooth graph must always occur at rounded curves. The graphs of polynomial functions are both continuous and smooth.
Intercepts and turning points of polynomials
A polynomial of degree
will have, at most,
x -intercepts and
turning points.
Determining the number of intercepts and turning points of a polynomial
Without graphing the function, determine the local behavior of the function by finding the maximum number of
x -intercepts and turning points for
The polynomial has a degree of
so there are at most 10
x -intercepts and at most 9 turning points.
Drawing conclusions about a polynomial function from the graph
What can we conclude about the polynomial represented by the graph shown in
[link] based on its intercepts and turning points?
The end behavior of the graph tells us this is the graph of an even-degree polynomial. See
[link] .
The graph has 2
x -intercepts, suggesting a degree of 2 or greater, and 3 turning points, suggesting a degree of 4 or greater. Based on this, it would be reasonable to conclude that the degree is even and at least 4.
What can we conclude about the polynomial represented by the graph shown in
[link] based on its intercepts and turning points?
The end behavior indicates an odd-degree polynomial function; there are 3
intercepts and 2 turning points, so the degree is odd and at least 3. Because of the end behavior, we know that the lead coefficient must be negative.
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
I am Camara from Guinea west Africa... happy to meet you guys here
Sekou
ma management ho
Amisha
ahile becheclor ho
Amisha
hjr ktm bta ho
ani k kaam grnu hunxa tw
Amisha
belatari
Amisha
1st year ho
Amisha
nd u
Amisha
ahh
Amisha
kaha biratnagar
Amisha
ys
Amisha
kina k vo
Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.
