6) Use the polynomial function /(x) = x-5x +4 to answer the questions below. a) List the y-intercept. b) Find all x-intercepts by factoring. c) Describe the end behavior using arrow notation. x-> 0o, f(x)-> x->-0, f(x) ->

Q: How many zeros can a quadratic function have?

A: We have seen that a quadratic polynomial is of the form: fx=ax2+bx+c ,a≠0 We assume that a, b and c…

Q: Sketch the graph of the function by (a) applying the Leading Coefficient Test, (b) finding the real…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: List all the zeros of the polynomial function f (x) =x* - 2r* - 6x²+22x – 15 Show all work,

A: Zeros of any function f(x) are the value of variable x for which value of function f(x) is 0.…

Q: 5. Give an example of a 4th-degree polynomial function, P(x), whose graph on a Cartesian coordinate…

A: Clearly it has been specified that the function should not have any X-axis intercept which is…

Q: Write the rule of the quartic (degree 4) polynomial with roots -4, -1, 2, and 3, and у-intercept 30.

A:

Q: Sketch the polynomial curve y=3x^5-20x^3.

A:

Q: Using MOSA method, what is the polynomial y1 for

A: Given,           y'=x+y2 if y(0)=2

Q: Find the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.

A: Find the quadratic polynomial

Q: ind a polynomial function with the given real zeros whose graph contains the given point.Zeros: - 2,…

A: According to given data if zeros of three degree polynomial are α,β,γ then polynomial function is…

Q: Is it possible for a polynomial to have two local maxima and no local minimum? Explain.

A: Maxima and minima: Functions make hills and valleys when they reach a minimum or maximum value in…

Q: Prove that x- 3 is a factor of the polynomial x + 4x-17x2-14x + 6 without referring to the graph.

A:

Q: 2. Write a possible equation for a polynomial whose graph has horizontal intercepts at x = 2, 1 -3.…

A: In this given question we have to find equation of polynomial whose graph has horizontal intercept.

Q: Which polynomial function would have the end behaviour of as x →to, y →o?

A:

Q: Find a 4th degree polynomial function with real coefficients in which the zeros

A:

Q: Explain, . the process of completing the square on a quadratic function with leading coefficient 1,…

A: x2+bxMultiply and divide 'bx' term by 2x2+2bx2=x2+2b2x

Q: Sketch the graph of the function by (a) applying the Leading Coefficient Test, (b) finding the real…

A:

Q: Sketch the graph of the function f(x) = 3x3 − 15x2 + 18x by (a) applying the Leading Coefficient…

A: Since you have posted multiple subparts we solve first three subparts for you To get the solution of…

Q: Sketch the graph of the function f(x) = 8 − x3 by (a) applying the Leading Coefficient Test, (b)…

A: Sketch the graph of the function f(x) = 8 − x3 by (a) applying the Leading Coefficient Test. (b)…

Q: Using the quadratic approximating polynomial to estimate, is approximately 0.98

A:

Q: 2, Determine the equation of the polynomial function y = f(x) shown II Express your answer in…

A:

Q: Sketch the polynomial curve y = x* + 2x³ – 2x + 3.

A: Given y=x4+2x3-2x+3 When x=0⇒y=3     When x=1                  ⇒y=1+2-2+3⇒y=4 When x=2…

Q: write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

A: For any polynomial having roots (a,bc,d) We can write polynomial as (x-a)(x-b)(x-c)(x-d)

Q: 5) If the leading term of a polynomial is -2x18, what do you know about the end behavior? As x → 0…

A: We will find the end behavior of the polynomial when Leading term is given.

Q: Sketch the graph of the function f(x) = −5x2 − x3 by (a) applying the Leading Coefficient Test, (b)…

A:

Q: What is the polynomial, in factored form, for the function with the leading coefficient 6, and zeros…

A:

Q: Write a third-degree polynomial f(x) with zeros -1, 3V2, and – 3 V2.

A: If three roots let a, b and c are given then the polynomial is given as (x-a)(x-b)(x-c)

Q: 5. Determine the zeros of 2x4 - 11x f(x) Verify your solution usir -

A: Given query is to find the factors of the function.

Q: 4. Explain and show all the possible number of x-intercepts (zeros) for a polynomial function with a…

A: Given: A polynomial function of degree 3.

Q: The degree of a polynomial is the highest exponent of x when in standard form. How are even degree…

A: Let's find.

Q: I need to find a degree 3 polynomial having zeros -5, 1 and 6 and the coefficient of x3x3 equal 1.…

A: Given query is to find the polynomial.

Q: This equation is about solving polynomial equations. In which find the correct zero for…

A:

Q: Express as a polynomial.

A: .

Q: Suppose​ f(x) is a quadratic function such that its vertex lies on the​ x-axis. How many distinct…

A:

Q: 4. Determine a possible equation for the polynomial function that corresponds to this graph.

A: Let's Solve,

Q: . Find a polynomial of degree 3 whose zeros are -4, -1, 2 and y intercept 16.

A: Since you have asked multiple question, we will solve the first question for you. If youw want any…

Q: What is a polynomial equation? When is it in standard form?

A: Solution: Polynomial Equation: The equation that involves variable (single independent), exponents,…

Q: write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

A:

Q: Sketch the polynomial: y = 5x3 + x² – 2x, by identifying the following: a. State the domain of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5) Write a rule for the 6th degree polynomial 8(x) pictured at right, whose only roots are -5, -2,…

A:

Q: A polynomial with two terms is called

A: To determine what the polynomial with two terms is called.

Q: The polynomial f(x)=(x−2)^3=(x−2)(x−2)(x−2) has x=2 as a zero four times. true or false?

A:

Q: Find the polynomial function with real coefficients 3, -1 with multiplicity of 2 and -i. Rewrite in…

A: If x=3 is a zero then (x-3) is a factor. If x=-1 is a zero then (x+1) is a factor. It has…

Q: Which polynomial function gets larger and larger in the negative direction as x gets larger and…

A: Find value of function as x→-∞

Q: Write the rule of the cubic polynomial with roots 5, -2, and 0 that passes through the point (3,–7).

A:

Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ using graphical method

A:

Q: Find the third degree polynomial function that has zeros -10 and -12i, and a value of 1,776 when x=2

A:

Q: Use the graph to identify the formula for a polynomial function of least degree. y 5- 4- 2 1+ +►X -5…

A: 1. Identify the x-intercepts from the graph In the above graph the x intercepts are at x=-4 , x=-2…

Q: Express the quadratic function f(r) = x² - x - 6 in vertex form, and %3D sketch its graph (showing…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.