Graph the polynomial function. f(x)=−x^{4}+3x^{3}−x+1

slaggingV 2021-02-25 Answered
Graph the polynomial function. f(x)=x4+3x3x+1
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

tabuordy
Answered 2021-02-26 Author has 91 answers

Step 1
f(x)=x4+3x3x+1
The leading coefficient is -1 (negative) and the degree is 4 (even)
Therefore f(x),as x
and f(x),as x
Step 2 image

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2020-12-30
What can you say about the graphs of polynomial functions with an even degree compared to the graphs of polynomial functions with an odd degree? Use graphs from the Polynomial Functions Investigation (and maybe some others) to justify your response.
asked 2021-05-05

Every cubic polynomial can be categorised into one of four types: Type 1: Three real, distinct zeros: P(x)=a(xα)(xβ)(xγ),a0
Type 2: Two real zeros, one repeated: P(x)=a(xα)2(xβ),a0
Type 3: One real zero repeated three times: P(x)=a(xα)3,a0

Type 4: One real and two imaginary zeros: P(x)=(xα)(ax2+bx+c),=b24ac<0,a0
Experiment with the graphs of Type 4 cubics. What is the geometrical significance of αα and the quadratic factor which has imaginary zeros?

asked 2021-09-15

Graph each polynomial function. Estimate the x-coordinate at which the relative maxima and relative minima occur. State the domain and range for each function. f(x)=x3+4x22x1

asked 2021-05-17
For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither. f(x)=3xx3
asked 2021-05-08

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 5. Roots of multiplicity 2 at x=3 and x=1, and a root of multiplicity 1 at x=3. y-intercept at (0, 9)

asked 2021-06-20

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at x=5, x=2, and x=1. y-intercept at (0, 6)

asked 2021-02-14
Find the cubic polynomial whose graph passes through the points (1,1),(0,1),(1,3),(4,1).