Beginner
what are the steps to graph a polynomial function?
Step1: Determine the end behavior of the graph
Step2: Find the x-intercept(s) or the zero(s) of the function.
Step3: Find the y-intercept of the function.
Step4: Determine any symmetry.
Step5: Find the number of the maximum turning points.
Step6: Find extra points if needed
Step7: Draw the graph
What is the use of polynomial function in real life?
Which of the following is a Polynomial Function?
a) P(x)= 6x-4-4x2+3
b) P(x)= 5x3-3x0.5-5
c) P(x)= 6x5-7x3+4
The correct answer is C.
Given f(x)=-3x3+5x2+x-5, What is the behavior of the function?
The behavior of the graph increases on the left and decreases on the right.
which best describes the graph of the function f(x)= x3+3x2-4x-12?
It goes down to the far left and up to the far right.
When can you identify if it is even function or odd function?
You can identify them if the even is f(-x)=f(x)
while the odd is f(-x)=-f(x).
How can you identify the end behavior of the graph?
The end behavior of the graph of polynomial function can also be determined through the use of leading term test. The leading term text indicates the eventual rise or fall the function as x increases or decreases without bound
Find all the zeros of f(x)= -x3 + 4x2 - 4x.
the zeros of f(x)= -x3 + 4x2 - 4x are 0 and 2.
What is the behavior of the following graph: f(x)=x3-2x2-3x.
the behavior of the graph increases on the left and decreases on the right.
Which best describes the graph of the function f(x)= -2x3+6x-4?
It goes up to the far left and down to the far right.
how can you tell if a graph ia a polynomial function?
Use the leading coefficent test to find the end behavior of the graph of a given polynomial function. Find the zer of a polynomial function. Find the multiplicity of a zero and know if the graph crosses the x-axis at the zero or touches the x-axisand turns around at the zero.
How can we determine the possible roots of a given polynomial?
We can determine it by using Synthetic division.
how many zeros does the polynomial f(x)=7x3+6x2-5x-3 have?
Given f(x)=(x-4)(x+1)(x+3) Find all the zeros.
x=4 , x=-1 , x=-3.
Which describes the graph of the function f(x)=2x2+11x+15?
It is shaped like a letter “U” with its sides sloping outward.