Answered: 1. The graph below is =P(x). If I tell…

1. The graph below is =P(x). If I tell you that this polynomial P(x) also has a zero of 1+1, %3D what is the smallest possible degree of P(x)?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 3E: The graph of f(x)=3(x2)26 is a parabola that opens_____, with its vertex at (____, ___) and f(2) =...

See similar textbooks

Related questions

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

A: A detailed solution is given below

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X 0 1 4 6 -1 1 y -1

A: We have,

Q: The figure shows the graph of y = f(x) and its two vertical asymptotes. Use the graph to what is the…

A: The relative maximum of a function is a point having zero slope. Now along with zero slope, the…

Q: 2. Determine the polynomial of degree 4 whose graph is shown in the figure. SLO 2 5 4 3

A: Given query is to find the polynomial for the graph.

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 2 and a root of multiplicity 1…

A: Given, The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=2 and a root of…

Q: 8. Find the vertical and horizontal asymptotes for the graph S(x)= **+3x+ 2 x' + 2x – 3

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at X=3 and root of multiplicity 1 at…

A: The polynomial of degree 3 with roots a,b, and c can be written as: P(x)=k(x-a)(x-b)(x-c) Now, x=3…

Q: 8. Find the x and y intercepts, and the horizontal and vertical asymptotes X-4 f(x) 3= %3D x2 -3x-4

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1…

A: Step-I: Given: The polynomial of degree 3. root : x = 4 with multiplicity 2 x =…

Q: 2. Find the polynomial f (x) of degree 4 whose graph is shown. Leave your answer in factored form.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: How is the graph of g(x)=-(2x) related to the graph of f(x) = x? A The graph of g(x) is a horizontal…

Q: Question 12 Which of the following is a quartic polynomial function with zeros 1 (order 2), 2, and…

A: I have given the answer in the next step. Hope you understand that

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1…

Q: 2. Find the vertical asymptote/s of 7.x f(r) : %3D x2 - 3r- 28'

A: Here we have to find the vertical asymptote of the function f(x)=7xx2-3x-28

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at X=1 and a root of multiplicity 1…

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

Q: 1 The graph of will have two vertical asymptotes providede y = x + 2x + k A k = 1e B k>1e C ksl e D…

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X0 1 4 6 -1 1|-1 y 1

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 2. Write the equations of functions satisfying the given properties, in expanded form. a. Cubic…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 1…

A: If a is a zero and multiplicity is m We can write it as (x-a)m

Q: The polynomial of degree 3, P(x), has a root of multiplicity 1 and a root of multiplicity 1 at x 2…

A: If x=p,q,r are roots of a cubic polynomial,then the general form of such polynomialis given…

Q: 15+ 10 + 5- for The figure above shows the plot of the points (1, 10), (2, 16), and (3, 18). Find a…

Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

A: fx is linear, gx is linear and hx=fxgx

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=3 and a root of multiplicity 1…

Q: Find the smallest positive value of c for which x=c is a vertical asymptote for the graph of the…

Q: The equations of the vertical asymptotes to the graph of f (x) 4 has x2

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

A: To find a formula for p(x)

Q: x² +3x +6 x² +1 Find the horizontal asymptote of f(x): Oy = -1 Oy = 1 Oy = 3 Oy = 6

A: Given query is to find horizontal asymptote.

Q: 3. What is the Vertical Asymptote of the FUNction 1 8. (x + 6) y = -8 X = 6 O y = -6 X = -6

A: We have to find asymptote

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=3 and a root of multiplicity 1…

A: The polynomial has root of multiplicity 2 at x = 3, so (x - 3)2 is a factor of the polynomial and…

Q: 6) What is the vertical asymptote of the function V(x) = + 15? %3D x +11 A) y = -15 В) у %3D 15 C) x…

Q: Suppose the graph of y = f(x) is given below. We happen to know that f has derivatives of all orders…

Q: 1) State the vertical asymptotes of f(x)= a. x=6₂x=-2 b. x=6, x=2 1 x² - 4x-12 c. d. x=-6, x=-2…

A: Given: fx=1x2-4x-12 Vertical Asymptote: For rational functions,the vertical asymptotes…

Q: 38. (a) Find the vertical asymptotes of the x² + 1 y = 3x - 2x2 (b) Confirm your answer to part (a)…

A: Given function

Q: 4. Find the remainder of f (x) = (1 + x)3/² of degree 3.

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 11…

A: Given the query is to find the polynomial from the data provided.

Q: 5. What is the Horizontal Asymptote of the FUNction (4x² +7) (3x3 +8) O No Horizotal Asymptote X =…

Q: 1 State the vertical asymptotes of f ( x 22—4а —12 Ox = 6, x = -2 Ox = -6, x = -2 Ox = 6, x = 2 Ox =…

Q: l. GRAPH: 1-フ× XCーー%2 f-1EX=| 5-X if x>l X-3 f6) = 2. GIVEN: f)=3x²2x+5 AND FIND: g6)=4-x a)…

A: Given: (1) f(x)={x−3 if x<−1−4x2 if −1≤x≤15−x if x>1(2) f(x)=3x2−2x+5…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=3 and a root of multiplicity 1…

Q: Suppose the graph of y = f(x) is given below. We happen to know that f has derivatives of all orders…

Q: 5. Determine the equations of the vertical asymptotes 1 S(x) = %3D x² - 8x + 12

Q: 10. Suppose x = 3 is a vertical asymptote of the function y = f(x). What one of the %3D following…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1…

A: The polynomial of degree 3. P(x) has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at…

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). 1 4 6 1 -1 у 1 y -1

Q: 3. (a) (b) (c) (d) Consider the function f(x)=(2x−6)(x−1) x²-1 Find the asymptotes of y=f(x). State…

Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

Please see the photo

1. The graph below is =P(x). If I tell you that this polynomial
P(x) also has a zero of 1+1,
%3D
what is the smallest possible degree of
P(x)?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ratios$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

The quadratic function f(x)=a(xh)2+k is in standard form. (a) The graph of f is a parabola with vertex(____,____). (b) If a > 0, graph of f opens _____. In this case f(h) = k is the _________value of f. (c) If a < 0, graph of f opens _____. In this case f(h) = k is the______valueof f.
The graph of f(x)=3(x2)26 is a parabola that opens_____, with its vertex at (____, ___) and f(2) = _______is the (minimum/maximum) _______ value of f.
(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is counted m times.
7. The following is a graph of a polynomial of degree 3, h. The leading coefficient of h is 1. (b) Determine the y-intercept of h.
Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.
4. Find the equation for a polynomial function in factored form with zeroes at x=-1 order 3 and at x=1 order 2 and the graph passes through (-2, 18). (5)
7. The following is a graph of a polynomial of degree 3, h. The leading coefficient of h is 1. (a) Determine the end behavior of h.
let p =(x,y) be a point on a graph of y=x2-5 using a graphing utility to graph d=d(x) in order to find what positive value of x is d smallest?
Find the smallest positive value of c for which x=c is a vertical asymptote for the graph of the function f(x) = 3tan(2.31x). Provide 4 decimal places. Answer: