Express the function f (a) = 2x2 + 12x + 16 in standard form. Find the vertex and all intercepts. %3D Use "N/A" for any intercepts that do not exist. Standard form: f (x) = Vertex: V( y-intercept: ( x-intercepts: ( ) and (

Q: Find the y-intercept of the polynomial function. f(x) = -x2 - 2x + 8

A: topic - y intercept of a polynomial y intercept is point on y axis where graph cuts y axis to find y…

Q: Find the x coordinate of the vertex: f (x) = x +5x+3

A:

Q: At a manufacturing plant, the total cost to produce x items is given by the function c(x)=…

A: Consider the provided information, the total cost that produces x items is defined as,

Q: The profit function for a firm making widgets is  P(x) = 88x − x2 − 800.  Find the number of units…

A:

Q: The average cost per hour in dollars of producing x riding lawn mowers is given by the following.…

A:

Q: Find all zeros of the polynomial function f(x) = -x3 + 5x2 - 5x - 3. Then graph the function.

A:

Q: For f(x) = find the x² + 3x + 2 domain, VA, HA and both x and y intercepts to graph. 3.

A:

Q: 8. f(x)=1+2Vx+4

A:

Q: Find the x-intercept and y-intercept  f(x)=8x+3/(6x+2)(9x+5)

A: Consider the given function

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

A:

Q: Find the function P(x) of a company selling x items is given by P(x)=x3+9x2-15x-13 where x…

A:

Q: For the quadratic function f(x) = -x² + 6x + 5, (a) find the vertex and the axis of symmetry, and…

A: The given quadratic equation is f(x)=-x2 +6x +5 To find  (a) Vertex and axis of symmetry (b) Graph…

Q: f the profit function for a product is  P(x) = 6400x + 80x2 − x3 − 220,000  dollars, selling how…

A: The profit function is: P(x)=6400x+80x2−x3−220000

Q: Solve for the zeroes of f(x) = x* - 4x2 and sketch the graph %3D

A:

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: Plot the labelled graph for y.

Q: f(x) x + 14x + 46

A:

Q: Graph the function f(x) x² + 6x + 10 by first clicking on the vertex then clicking on a second…

A: topic - geometry and graphs

Q: Find the range of the quadratic function. g (x)=x-4x+7 Write your answer using interval notation.

A: Given function is g(x)=x2-4x+7

Q: Find the end behavior, zeros, and multiplicity for the function - y = -x^2(x-3)^2

A:

Q: Sketch the graph of each quadratic function and compare it with the graph of  y = x2.

A: Compare both graphs

Q: Find the break-even point F(x) = 40x^2 -60x +228 G(x) = 23x^2 - 20x + 3000 %3D

A: At break even point F(x)=G(x)

Q: Find the domain of f(x) = v- 4x + 8

A: The domain or set of departure of a function is the set into which all of the input of the function…

Q: Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the…

A:

Q: The function C(x)=−9x+2401 represents the cost to produce x items. What is the least number of items…

A: Obtain the average cost function for the given cost function as follows. Cx=Cxx=-9x+2401x=-9+2401x

Q: Given g(x) = 3x + 3, find four points on the graph of the function.

A: gx = 3x+3four points on the graph of g(x) = ?3x+3 ≥ 03x ≥ -33x3≥- 33x ≥ -1So the domain is [-1, ∞).…

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: The function  y = 4 − 16x2  intersects the x-axis at the following values of x.

A: Consider the parabola equation y = 4-16x2. Remember that the yth coordinate of the points on the…

Q: Find the end behavior, zeros, and multiplicity for the function -                            y = x^4…

A:

Q: Select the graph of the quadratic function f(x)=x²+2x+2. Identify the axis of symmetry.

A:

Q: . Given f(x)=-x²+4x+12, 05x58: (a) Carefully, graph f(x), 0sxs8.

A:

Q: x²+ 3x 3. f(x) = x²-x-6

A: Let's find.

Q: Let f(x)= 56-2) (x+1 What is the domain? b find all x-intercepts OFind y-intercept if it exists?

A:

Q: Find zeros of the function: x² – 16 f(x) = 3x + 2

A:

Q: Find all zeros of the polynomial function f(x) = 2x3 - 2x. Then graph the function.

A: Given polynomial function is fx=2x3-2x. Factoring the given polynomial. fx=2x3-2x=2xx2-1=2xx+1x-1…

Q: The profit function for a firm making widgets is  P(x) = 154x − x2 − 1800.  Find the number of…

A:

Q: use quadratic functions. Suppose that the cost function for a particular item is given by the…

A: We have to use quadratic functions. The cost function for a particular item is given by the…

Q: Find all zeros for the function f(x) = x4 - 8a3 + 3x2 + 40x - 12

A: Here we use quadratic formula. For quadratic equation ax2+bx+c =0 Then x =-b ±(b)²-4ac2a

Q: Match the function with its graph. f(x) = x2 + 6x + 8

A: In the question we have to find graph of the function.

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

A: Given,

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

A: We have to solve the problem

Q: Find the oblique asymptote. 7 - x3 f(x) = 2x2 7-x3 2x2 y =

A:

Q: The profit function for a firm making widgets is  P(x) = 154x − x2 − 1800.  Find the number of…

A: Consider the profit function:

Q: function

A: Please refer to the image below

Q: f(x)=x3-3x2-9x+27 determine the zeros, their multiplicity, and whether the graph will touch or cross…

A: Given function:

Q: Use the vertex formula to find the vertex of the graph of the function. f(x) = 2x2 - 3x + 7 (x,…

A: Given: f(x)=2x2-3x+7

Q: find all x intercept f(x) =x3+7x2-16x-112

A: The x-intercept is the point at which the graph crosses the x-axis i.e.,f(x)=0.At this point, the…

Q: What is the maximum value of the function y = -x² + 6x – 7?

A: 3 To find the maximum value of the given function y = -x2 +6x -7

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.