Polynomial Equations and Graphs: Discover the Relationship

High School
Algebra
Algebra II
Polynomial graphs

(a) find the Maclaurin polynomial $P_{3} (x)$ for f(x), (b) complete the following $x : - 0.75, - 0.50, - 0.25, 0, 0.25, 0.50, 0.75 f or f (x)$ and $P_{3} (x)$ , and (c) sketch the graphs of f(x) and $P_{3} (x)$ on the same set of coordinate axes. $f (x) = \arcsin x$

a2linetagadaW 2020-12-09

The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. $A = lim n \to \infty R n = lim n \to \infty [f (x_{1}) Δ x + f (x_{2}) Δ x + . . . + f (x n) Δ x]$ Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. $f (x) = 7 x \cos (7 x), 0 \leq x \leq π 2$

illusiia 2020-12-06

For each polynomial function, one zero is given. Find all rational zeros and factor the polynomial. Then graph the function. $f (x) = 3 x^{3} + x^{2} - 10 x - 8$ , zero:2

Annette Arroyo 2020-11-09

Use the appropriate Lagrange interpolating polynomials to find the cubic polynomial whose graph passes through the given points. $(1, 2), (2, 1), (3, 3), (6, 1) (1, 2), (2, 1), (3, 3), (6, 1)$ .

cistG 2020-10-28

Use the appropriate Lagrange interpolating polynomials to find the cubic polynomial whose graph passes through the given points. $(2, 1), (3, 1), (4, - 3), (5, 0)$ .

ringearV 2020-10-23

Make rough sketches of the graphs of each of the following polynomial functions. Be sure to label the x- and y- intercepts. $a) y = x (2 x + 5) (2 x - 7)$ $b) y = {(15 - 2 x)}^{2} (x + 3)$

Wotzdorfg 2020-10-21

Solve the polynomial inequality graphically. $3 x^{4} - 5 x^{3} - 12 x^{2} + 12 x + 16$

If you are looking for polynomial graphs examples, do not forget about word problems as well because these will help you explain your questions that are dealing with polynomial problems. Always start with the composition of the graph and only then continue with the transformation of variables or the use of an equation like in the case with polynomial equations and graphs. See some examples below and approach them the same way with a detailed analysis. If you need to start with your polynomial graph to equation homework, these samples with answers will be essential.

Algebra II

Polynomial Graphs Examples: See the Power of Polynomials in Action

(a) find the Maclaurin polynomial P3(x) for f(x), (b) complete the following x:−0.75,−0.50,−0.25,0,0.25,0.50,0.75forf(x) and P3(x), and (c) sketch the graphs of f(x) and P3(x) on the same set of coordinate axes. f(x)=arcsin⁡x

For each polynomial function, one zero is given. Find all rational zeros and factor the polynomial. Then graph the function. f(x)=3x3+x2−10x−8, zero:2

Use the appropriate Lagrange interpolating polynomials to find the cubic polynomial whose graph passes through the given points. (1,2),(2,1),(3,3),(6,1)(1,2),(2,1),(3,3),(6,1).

Use the appropriate Lagrange interpolating polynomials to find the cubic polynomial whose graph passes through the given points. (2, 1), (3, 1), (4, −3), (5, 0).

Make rough sketches of the graphs of each of the following polynomial functions. Be sure to label the x- and y- intercepts. a)y=x(2x+5)(2x−7) b)y=(15−2x)2(x+3)

Solve the polynomial inequality graphically. 3x4−5x3−12x2+12x+16