# Polynomial graphs with equation

Recent questions in Polynomial graphs
Jewel Beard 2022-04-09 Answered

### Use the table method to find the quotient.Then, substitute the value $y=2$ into eachpolynomial, and show that the polynomialsrepresent integers with a true division equation.Show your work for both tasks!$\left(\frac{12{y}^{4}+4{y}^{3}-31{y}^{2}-9y+9}{4{y}^{2}-9}\right)$

Aarav Rangel 2022-02-04 Answered

### Fill in the blank/s.:True or false - Even-degree polynomial functions have graphs with the same behavior at each end ____________

Anabelle Schneider 2022-02-01 Answered

### The behavior of the graph of a polynomial function to the far left or the far right is called its_______ behavior, which depends upon the_______ term.

Emerson Barnes 2022-01-31 Answered

### 1. Is ${x}^{2}-2\sqrt{5}x+x$ a polynomial? If not, state a reason. 2. Is -2020x a polynomial? If not, state a reason. 3. Is $x\frac{2}{3}+3x+1$ a polynomial? If not, state a reason. 4. Is $\frac{1}{{x}^{2}}+\frac{r}{{x}^{3}}+\frac{r}{{x}^{4}}$ a polynomial? If not, state a reason. 5. Is $\pi$ a polynomial? If not, state a reason. 6. Is $x{3}^{\sqrt{2}}+checkmark3{x}^{2}$ a polynomial? If not, state a reason. 7. Is ${x}^{3}+2x+1$ a polynomial? If not, state a reason. 8. Is $-2{x}^{-3}+{x}^{3}$ a polynomial? If not, state a reason. 9. Is $1-4{x}^{2}$ a polynomial? If not, state a reason.

William Curry 2021-12-24 Answered

### Taylor’s formula with $n=1$ and $a=0$ gives the linearization of a function at $x=0$ With $n=2$ and $n=3$ we obtain the standard quadratic and cubic approximations. In these exercises we explore the errors associated with these approximations. We seek answers to two questions: a) For what values of x can the function be replaced by each approximation with an error less than ${10}^{-2}$ b. What is the maximum error we could expect if we replace the function by each approximation over the specified interval? Using a CAS, perform the following steps to aid in answering questions (a) and (b) for the functions and interval. Step 1: Plot the function over the specified interval. Step 2: Find the Taylor polynomials at $x=0$ Step 3: Calculate the $\left(n+1\right)$ st derivative ${f}^{\left(n+1\right)}\left(c\right)$ associated with the remainder term for each Taylor polynomial. Plot the derivative as a function of c over the specified interval and estimate its maximum absolute value, M. Step 4: Calculate the remainder ${R}_{n}\left(x\right)$ for each polynomial. Using the estimate M from Step 3 in place of ${f}_{\left(n+1\right)}\left(c\right)$ plot ${R}_{n}\left(x\right)$ over the specified interval. Then estimate the values of x that answer question (a). Step 5: Compare your estimated error with the actual error ${E}_{n}\left(x\right)=|f\left(x\right)-{P}_{n}\left(x\right)|$ by plotting ${E}_{n}\left(x\right)$ over the specified interval. This will help answer question (b). Step 6: Graph the function and its three Taylor approximations together. Discuss the graphs in relation to the information discovered in Steps 4 and 5.

Emily-Jane Bray 2021-10-27 Answered

### Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x 2 − 4 x – 2are the same in every respect. Provide evidence to support your position.

Khaleesi Herbert 2021-10-23 Answered

### For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at x = −2, x = 1, and x = 3. y-intercept at (0, −4).

Suman Cole 2021-09-28 Answered