For the following polynomial:              f(x) = (x – 1)2 ( x2– x – 30)   3a) Describe the end behavior of the graph.  (You 3b) Find the x and y-intercepts 3c) Is the graph of this function both smooth and continuous? Explain why or why not? 3d) Provide a sketch of the function. How did you use your answers to parts (a), (b), and (c) to sketch the graph.

Q: 2. Sketch the curve of the following function using the procedure from class. Show all work. f(x) =…

A: Graph of cubic

Q: Find all the real zeros of the function, in ascending order. f(1) = -31 (1 – 7) (z² – 49) First…

A:

Q: If the xy-plane is overlaid on the figure such that the tee corresponds to the origin and each unit…

A:

Q: the Leading Coefficient Test to determine the graph's end behavior. The graph of f(x) rises to the…

A: Introduction: The x-intercept is the point on the x-axis where the line intersects it. To find the…

Q: 1.Determine the function   f(x)=3(x-4)2+5    in the standard form and state the y-intercept.…

A: The standard form of quadratic equation is f(x)=a(x-h)2+k where (h,k) are the vertices. So the given…

Q: onsider the equation f(x) = 2x³+x²- 2x- 1 a) Express the equation in factored form. (T4) %3D

A: Given equation fx=2x3+x2−2x−1

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Ans 1: (d) Degree of polynomial is 6Ans 2 : (b) Function changes its sign at x =…

Q: Is f(x) = x0 DNE 17x + 1 a polynomial function? If it is, give its degree. (If expression is not a…

A: We use definitions of polynomial function and degree of the polynomial to answer the given question.

Q: 1. The table of values represents a polynomial function. The function appears to be: a. Not…

A:

Q: 9. For the function: f(x) = 2x4 + 11x³ + 14x²-9x-18. a) Use your calculator to sketch the graph of…

A: f(x)=2x4+11x3+14x2-9x-18

Q: Number of Turning Points Polynomial Function and Sketch Degree 1. у%3 х (х + 2)(х — 3) 2. y = (x +…

A: Given the polynomials

Q: Directions: Differentiate the following functions using the rules that you learned. 7. r(x) = (2x? –…

A: We will differentiate the functions as following.

Q: For the function: f(x) = 31 + 3z2. %3D (a) identify the end behavior of the graph, (b) additional…

A: We have to find the nature of the given function then sketch the graph

Q: Determine the number of positive, negative and non-real roots of each polynomial function. Apply the…

A: The Descartes' Rule of Signs states that if the terms of a single-variable polynomial with real…

Q: For the function f(x)=-2x² +8x – 3 i. Complete the square and sketch the graph of the function f(x)…

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

Q: Q.10 Sketch a graph of the functionf(x) = -x³ + 4x² – 9x + 3 using the following steps. a) Identify…

A: f(x)=-x3+4x2–9x+3First derivativef'(x)=ddx(-x3+4x2–9x+3)=-(3x2)+4(2x)–9+0=-(3x2)+8x–9Second…

Q: The cost for producing cleaning robots is given by the following function: C(x) =x²-12x²+59x 200 The…

A: Given cost function is  Cx=x3-12x2+59x+260   (i) Revenue function is  Rx=-6x2+150x         (ii)…

Q: B. Directions: Given the polynomial f(x), find each function value. 1. f(x) = 2x2 – 3x + 1 f(3) and…

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.