2. Let fx) = - 10 (x + 2 ) (x – 3)(x + 2)*. Do not use your calculator until part d. a. List the factors and the x-intercepts (zeros) of f(x). In the right column, circle either touch or passthrough describing what the graph will do at each x-intercept. appearance at x-intercept touch pass-through factor x-intercept at x = ? touch pass-through touch pass-through b. What are the degree and the leading coefficient? degree: leading coefficient: c. What are the end behaviors (up or down)? left end: right end: d. Now graph f(x) on your calculator. Adjust the window until you can see all of the features listed above. D Then, sketch the screen.

Q: If a zero has an even multiplicity what happens at the X intercept?

A: Given query is to provide the information about multiplicity of zero and intercept.

Q: The function f(x) = kx* + 8x² has three turning points, a maximum value of 8 and a root at x = 2.…

A:

Q: Find the maximum number of X- intercepts that f(X) = -9X + 15X– 8X² + 2X + 37 may have. %3D None of…

A: Maximum number o x- intercepts are

Q: 4. Given the function y = (3 - 2x²)/(1- x -2x?), (a) Find the difference quotient Ду/Дх.

A: Topic:- Difference quotient

Q: verbally   If a third-degree polynomial has a lone x-intercept at x = a, discuss what this implies…

A: Given query is to provide information regarding factor of a 3 degree polynomial.

Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: The graph of f(x) = 2x° + 15x² – 84x + 18 has two horizontal tangents. What is the negative value of…

A: Here, f(x)=2x3+15x2-84x+18

Q: 4. Use the Intermediate Value Theorem to show that the equation 2x3 + x – 2 = 0 has a root in the…

A: The given equation is 2x3+x-2=0 has a root in the interval -1,1

Q: 6. Determine the vertex and the axis of symmetry for f(x) = 3x2 – 5x + 12

A: We have given a quadratic function.  We have to find the vertex and line of symmetry

Q: If r is a zero of even multiplicity, how come the graph of f doesn’t just cross the x-axis at r?

A:

Q: 11.What are the zeros of the function represented by the quadratic equa g (x) =- (x-4)?

A:

Q: What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at…

A: To find the area of the largest rectangle with given corner points.

Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x* – 4x?.

A: To Determine: use the leading coefficient test to determine the end behaviour of the graph of f(x).…

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A:

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A: Given : f(x) = x⁴ - 4x²    -----(i) We have to find point of inflection and the concavity of the…

Q: What is the y intercept of 9-3x over x-5? What is the domain of this fraction

A:

Q: 4. a. Use the vertex formula to determine the vertex of f(x) = 2x + 12x + 19. b. Based on the…

A:

Q: 29. Find x-intercepts(roots) and their multiplicities of the function by factoring: y = 3xt + 12x3 +…

A:

Q: Given the function g(x) = – 2x* + 7x" +x2 + r - There are at most x-intercepts, and based on the…

A: For a polynomial P(x) of degree 'n' 1. The maximum number of x-intercepts is given by 'n' 2. The…

Q: One zero of x3 – 4x = 0 is 0. What are the other zeros?

A:

Q: Use Descartes's Rule of Signs to dete 17) f(x) = 3x -5x4 + x + 10

A: Given:   f(x) = 3x7 - 5x4 + x +10

Q: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

A:

Q: If y = x2 - 4x and x = square root of (2t2+1), find y' when t = square root of (2)

A: Explanation of the solution is given below...

Q: 9. Sketch the graph of f(x) = x(2 − x)3(x + 1)2 using only roots and end behavior.

A: We have  f(x) = x(2-x)3(x+1)2 We find the roots by putting f(x) = 0. Then, we have either   x = 0…

Q: Use the graph method to apprroximate the root of f(x) = x³ + 3x-5, and use the provided graph paper.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Use desmos to find the vertex for f (x) = x² – 6x + 13. -

A: Given :- f(x)=x2-6x+13 To find:- use desmos to find vertex

Q: Differentiate two ways: first, by using the Quotient Rule; then, by dividing the expressions before…

A: Disclaimer: Since you have posted multiple question, we will answering only 13th. In case you need…

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: Is the point (4, 14) on the graph of the function g(x) = (x2 + 4)>(x + 2)?

A: Given inequality is: gx=x2+4>x+2 Given point is (4, 14).

Q: The axis of symmetry of the graph of f(x)=2(x+9)2-3 has equation...

A: Given,

Q: Suppose that the x-intercepts of the graph of y=​f(x) are5 and 9.What are the​ x-intercepts of…

A: Given,           The x-intercepts of the graph of y=fx are 5 and 9.To find: The​ x-intercepts of…

Q: ²+6x +8 a. f(x) : x + 2

A: I am attaching image so that you understand each and every step.

Q: Use the false position method in order to find the root of the function: fx) = -26 + 85x- 91x + 44x…

A: Given the given function is fx=-26+85x-91x2+44x3-8x4+x5 Starting interval is 0.5, 1.…

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: f(x) = 5x3 +17x2 – 14x – 8

A:

Q: Graph f(x) = -3cos(-nx) – 1 by Key Points method.

A:

Q: What is the multiplicity of the zero at x=-2 of the function represented by the graph?

A: Given,           The function represented by the graph is shown below :           To find : What is…

Q: 1. Find the intercepts of the function. f(x)=x*+2x–15 а. X+10 b. y-- х-5

A:

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option

Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: The graph of f(x) = 2x + 6x2 – 90x + 21 has two horizontal tangents. What is the negative value of x…

A: Given that the graph of f(x)=2x3+6x2-90x+21-(i) has two horizontaltangents.Our Aim is to tell the…

Q: Determine its vertex and axis of symmetry    f(x) = 3 (x +1)^2 - 6

A:

Q: d #1. Find of follawing functions, la) funx)= SinC3x)+ lag (3+2x-4)

A:

Q: A manufacturer finds that the profit obtained by selling x units of a certain product is given by…

A: Given that the profit function of selling x units of a product is given by Px=-0.2x2+400x-2500. It…

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

A:

Q: where does the of inffection point y=x%3x°+2x-3? Occur

A:

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A: