Use the graph to write the formula for a polynomial function of least degree f(x) = f(x) 2 -4 12 4 2. 2.

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

A: Consider the function: gt=-14t-22t+22. a) Leading coefficient test determines the graph of the…

Q: What is (f + g)(x)? f(x) = -x² - 3x + 4 g(x) = -x² + 9x Write your answer as a polynomial or a…

A: Given  f(x)=-x2-3x+4g(x)=-x2+9x

Q: Find the absolute maximum and absolute minimum of the function f(2) = a2 – 8x + 7 over [1, 8].

A:

Q: Use the given information provided below to write an equation of a polynomial function. Degree: 4…

A: Use the standard form of the polynomial equation in roots or zeros form.

Q: 3. Sketch the graph of the polynomial function. Make sure to label the roots and y-intercept (g) 1(r…

A: see below the answer y-intercept is calculate y when x=0 And the y=intercept and roots of the…

Q: The Range of the quadratic function f(x) = -x² + 18x + 52 is O [-9, 00) O [52, 0) O (0,9] O (-∞0,…

A:

Q: Create an equation of a polynomial of degree 5 that has exactly three r-intercepts such that the…

A: Step:-1 Note:- Let P(x) be a polynomial in x and x=a be root of the polynomial P(x) then 1. If…

Q: The Range of the quadratic function f(x) = -x² + 15x + 45 is O (0,8] О -45, 8 O [-8, 0) O [45, 0) O…

A: By sketching the graph

Q: orm the quadratic function into vertex form f(x) = (x-h)^2 +k by completing the square.

A: I have provided solution in step2

Q: The heights of two different projectiles after they are launched are modeled by the f(x) and g(x).…

A: Given, The function f(x) is defined as: fx=-16x2+55x+19 The quadratic function g(x) values are shown…

Q: Use the graph of the quadratic function f to write its formula as f(x) = a(x- h) +k. Ay 2- -6 -4 -2…

A:

Q: Find a quadratic function f whose graph matches the one below. f(x) =D (-2,3) (0,1) of

A:

Q: The Range of the quadratic function f(x) = -x² + 9x + 53 is O (0,4] O (-∞,53] O [53, ) O [-53, 4] O…

A: This question is based on finding range of quadratic function which is a downward opening parabola

Q: 3. Sketch the graph of the polynomial function. Make sure to label the roots and y-intercept (G)…

A:

Q: Determine the domain and range of the quadratic function.   f(x)=−4(x+1)^2 − 4   Enter your…

A: We have to find the domain of :  f(x)=−4(x+1)2 − 4.

Q: 5. For the quadratic function f(x) = 5x² – 3x + 1, what is f(3)? %3D

A: f(x) = 5x2 - 3x + 1 f(3) means the value of the function when x = 3 f(3) = 5·32 - 3·3 + 1 f(3) = 5·9…

Q: Determine the image of the function 12x + 27 f(x) x² – 4x + 5 for all x E R. Solve the problem…

A: Given fx=x2-12x+27x2-4x+5

Q: 2. Determine whether each function is a polynomial function or another type of function. Justify…

A:

Q: Is y = |x| a polynomial function? What about y = |x2 + 1|?

A: Given, y=x Since the Modulus function is not a polynomial function, therefore y=x is not a…

Q: For what x does the function g(x) = 10 + 40x - x2 have its maximum value?

A:

Q: Q2// Sketch the graph of the function defined by the formula 0, x<-1 f(x) = {V1- x2 ,-1<x<1 x 2 1 X…

A:

Q: Use the graph of the quadratic function f(x) = a(x - h)- +k to find the vertex, axis of symmetry,…

A: To find the vertex, axis of symmetry, and maximum or minimum value of function using the given graph…

Q: Express the quadratic function f(x) = x² - x - 8 in standard form. f(x) = Sketch its graph.

A:

Q: Use the graph of the quadratic function f to write its formula as f(x)= a(x - h) + k. 2- -> -4 1-2…

A:

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

A:

Q: 2. What is the degree of the function g(x)=-2x(2x-1)(x² + 1)²?

A: The given function is; g(x)=-2x(2x-1)(x2+1)2.

Q: Write the quadratic function in the form f (x) = a (x-h) +k. Then, give the vertex of its graph.…

A:

Q: 7. Find the natural domain of the function f(x) = V4– 3x .

A:

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

A:

Q: Write the quadratic function in the form f(x) = a(x - h) + k. 81 14 -8 -7 -6 - -4 -3 -2 I 2 3 4 5 6…

A: Given: Vertex of the given graph is at (h,k)=(-3,-7) and quadratic equation y=a(x-h)2+k

Q: The Range of the quadratic function f(x) = -x² + 24x + 48 is, O [-48, 12]| о (), 12] O [48, 0) O…

A:

Q: What is (f g)(x)? f(x) = -2x %3D g(x) = 2x + x %3D Write your answer as a polynomial or a rational…

A: Consider the two given functions. f(x)=-2x g(x)=2x2+x The objective of the problem is to find f·gx.…

Q: Find expressions for the quadratic functions whose graphs are shown. f(x) = g(x) = X X

A: Given: The graph for fx is, The graph of gx is, To find: The quadratic equation of both the…

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: Use the graph below of the polynomial function h to answer the following question. 40 Y 30 20 10 -30…

A:

Q: Analyze the polynomial function f(x)=x^3+2.56x^2−3.31x+0.89   Approximate the turning points of the…

A:

Q: What is the maximum value of f(x) = x³ - 3x² - 1 on the interval [-3, 2]? A) -1 в) 5 C) 0 D) 2

A:

Q: Why f(x) = - is not a polynomial function? %3D M 2х

A: In a polynomial function, exponent of the variable should not be fraction, radical or negative.

Q: find c such that f(x)=-0.2x2-3x+c has a maximum value of -224. what is the value of c

A:

Q: Sketch the graph of the quadratic function f (x) = x 2 + 3x + 1 4 without using a graphing utility.…

A: Given,

Q: Use the graph to write a polynomial function of least degree. f(x) = f(x) 400 000| 200000 (-260, 0)…

A:

Q: Determine the quadratic function of the form f(x) = a(x - h) +k whose graph is given on the right.…

A: A quadratic function is a polynomial of degree 2  and so the equation of quadratic function is of…

Q: What is the degree of the function g(x)=-2x(2x–1)(r² +1)* ?

A: We have to solve the problem

Q: What's the answer to the problem? Construct a polynomial function with the stated properties.…

A: In this question we have Zeroes  -6 and 5 which goes to -∞ as x→-∞

Q: Write the quadratic function in standard form. f(x) = -x² - 4x + 3 f(x) = Sketch its graph. f(x) 10-…

A:

Q: Determine the image of the function x2 – 12x + 27 - f(x) = x² – 4x + 5 for all æ E R. Solve the…

A:

Q: Which of the following graphs of polynomial functions corresponds to a cubic polynomial equation…

A: A cubic polynomial with roots -2, 3 and 4 must have degree one at each of its factors, ie. it must…

Q: The zeros of the function f(x)=x'-9x are 1) 9, only 2) 0 and 9 3) 0 and 3, only 4) -3, 0, and 3

A: