Operations and Compositions of Func: Directions: Use the given functions to solve the problems below. Use your solutions to navigate through the maze. Staple all work to this p(x) = x - 4 q(x) = -2x + 7 r(x) = (x + 1)2 s(x) = = 3x2 – 5x t(x) = -x² + (-1) (q-s)(3) (t – u)(-5) 12 66 r undaf

Q: Given that f is a quadratic function with minimum f(x) = f(1) = 3, find the axis, vertex, range and…

A:

Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm.…

A: This is problem of optimization and application of differential calculus.

Q: f(x) = -1/9x2 − 2x + 9 What is the maximum value of f What is the axis of symmetry

A:

Q: A quadratic function is given. f(x) = 2x2 + 4x + 3 (a) Express the quadratic function in standard…

A:

Q: Find the range of each quadratic function and the maximum or minimum value of the function. Identify…

A:

Q: The vertex form of a quadratic function is  f(x) = a ( x-h)2+k If the vertex of any function is (…

A:

Q: At what values of x does the graphs intersect? F(x)= x^3+x^2 +7x+1 G(x)= x^2+7x

A: We need to find the values of x at which the graphs F(x)= x^3+x^2 +7x+1 and  G(x)= x^2+7x intersect.

Q: The maximum of the function f(x) = -3x? – 2(k – 5)x + k – 9 is equal to the minimum of the function…

A: Given f(x)=-3x2-2(k-5)x+(k-9) & g(x)=x2-2(k-1)x+(k+7) are quadratic functions. For any quadratic…

Q: %3D Find the maximum value of the function f(x) =x° - 9x2 + 15x - 5. Answer: Find the value of x for…

A:

Q: Revenue If the price from the sale of x units of aproduct is given by the function p = 100x - x2,the…

A: Consider the given function as R=100x-x2x

Q: 1. Consider the function y = 6x² – 12x - 1. (a) Give the coordinates of the vertex of the graph of…

A: This question is related to conic section. Solve in step2.

Q: f (x) = x² + 2* – 100 Solve this question by the Fixed-point method on the topic of solution of…

A:

Q: 3-2x 10 Q Find the domain of y = - 2 - 1+x x+5 Vx+4 Q Find the domain of y = Vx3 – x² – x – 2 + r-5

A: Step:-1 Domain:- Domain of a function is the collection of points and function is defined at each…

Q: 6. (a) Graph the quadratic function f(x) = -x² + 2x – 3 by determining whether its graph opens up or…

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

Q: 11. The general equation for a family of quadratic functions is y = a(x + 1)(x - 3). Find the…

A:

Q: graphs to find approximate solutions to the y=-2 and y=x have been drawn. Use the 1. In the diagram,…

A:

Q: Ventilation requirements Ventilation is an effective way to improve indoor air quality. In…

A: Given function, V(x)=35x Where x be the number of peoples in the dining area V(x) be the ventilation…

Q: 5. You are not allowed to use the graphing calculator For the given equation f(x) = x³ – 6x2 +9x- 2…

A: Only 5 solved... According to given   F(x)=x3-6x2+9x-2

Q: A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (-4,…

A:

Q: A quadratic function has its vertex at the point (- 4, – 2). The function passes through the point…

A: In vertex form, (h, k) is vertex point.

Q: (a) Graph the quadratic function f(x) = -x² + 2x – 3 by determining whether its graph opens up or…

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: f(x) = 0.5x-6x +21 %3D = 0.5(x²-12x+42) = 0.5(x²-12x+ 0.5((x-6)²+6) 0.5(x-6)2 + 3 %3D 36-36 +42) %3D…

A: f(x)=0.5x2-6x+21       =0.5x2-12x+42 Now to do a complete square we need to add and subtract some…

Q: 9. The graph of the quadratic function f(x)=c+bx-x intersects the y-axis at point A (0, 5) and has…

A: I am solving this in step 2

Q: 37. f(x) = 4x – 9 (a) Is the point (2, 1) on the graph of the function? (b) If x = 3, what is f(x)?…

A: Simply put f(x)=7 in given function and solve it for x.

Q: Revenue The price for a product is given byp = 100,000 - 0.1x2, where x is the number ofunits sold,…

A: R=100,000-0.1x2·x a. Put R=0 in R=100,000-0.1x2·x, we get ⇒100,000-0.1x2·x=0⇒100,000-0.1x2=0  or…

Q: quadratic functions into the vertex 2. f(x) = 2x² – 12x+ 19 %3D

A: Explanation of the answer is as follows

Q: the maximum and minimum value of  y= x2-2x+3 0<x<3

A:

Q: The degree of a polynomial function f is 7. The function has roots of multiplicity 3 at x = -2 and x…

A: Given The degree of polynomial function f is 7

Q: The range of a cosecant function is (-0, 9|U[5,00). The equations of two consecutive asymptotes of…

A:

Q: 7. The profit function for selling z units of a certain product is given by P(z) = -.75x2 + 6x – 9…

A: Given : PX=-.75x2+6x-9 where P(x) is in dollars

Q: Consider the Quadratic function f(x) = x - 3x – 40. Its vertex is ( Its largest x-intercept is x =…

A:

Q: fcx) = x+2ー100 2 X +2 -100 Solve this question by the Fixed-point method on the topic of solution of…

A:

Q: Can you answers this whole page

A: 1.) a.) Break even occurs when the profit is zero. The number of cases of pies that Laura should…

Q: (x² – 4)? attain the absolute maximum For what value of x does the function g(x) in the interval…

A: First find the derivative of function then draw the wavy curve and check derivative goes positive…

Q: A quadratic function is given. f(x) -x2 + 10x + 5 (a) Express the quadratic function in standard…

A: See the attachment

Q: The price for a product is given by p=128,000 -0.2x², where x is the number of units sold, so the…

A: We will put Revenue=0 to find the value of x

Q: A graph of y = x* + x - 7x - x+ 6 is shown. Use the graph to solve x* + x³ – 7x – x+ 6 2 0- YA 12 -4…

A: A graph of y=x4+x3-7x2-x+6 is shown. Use the graph to solve x4+x3-7x2-x+6≥0 Note: Since you have…

Q: 1. Looking around in your own country, discuss two practical applications in which “piecewise…

A: Given: 1. Looking around in your own country, discuss two practical applications in which “piecewise…

Q: A quadratic function is of the formf(X) = ax-+ bx + c and when we set f(x), or y, equal to zero we…

A: The given quadratic functions are: y=x2-2x-1y=-3x2+12x-12y=x2-6x+13 Find intercepts and relative…

Q: Optimal Chapter-Flight Fare If exactly 214 people sign up for a charter flight, Leisure World Travel…

A: Let 'n' be the total number of people sign upped. Each person is charged by $306 if n≤214. Then the…

Q: Profit The revenue from sales of x units of a productis given by R(x) = 200x - 0.01x2, and the cost…

A: The revenue function is given by R(x)=200x-0.01x2 Differentiating R(x) with respect to x, the…

Q: Can you show me the steps to solve the problem? 3.1 Directions: Find the absolute maximum and…

A: Given a function and an interval,

Q: 4. A graph of a quadratic function has x- intercepts of (6, 0) and (-4, 0). Which quadratic function…

A:

Q: A quadratic function is given. f(x) = -x2 + 10x + 5 (a) Express the quadratic function in standard…

A:

Q: A quadratic function f is given by f(x)=x^2+4x . Select all of the statements that must be true…

A:

Q: Quadratic functions q and w are graphed on the same coordinate grid. The vertex of the graph of q is…

A: Given: The vertex of q is 15 unit above from the vertex of w.

Q: A factory operating at maximum capacity can produce 25 fuzzles in one day. The cost of producing a…

A: Given the cost function is C(x)=3x+8  and the revenue function is R(x)=14x

Q: A quadratic function is given. f(x) = 1 + x - V3x2 (a) Use a graphing device to find the maximum or…

A:

Q: In a company if the revenue function is given by R(x) = 3(Z + R)x – 0.2x² and cost function is…

A: Since you have asked a question with multiple question in a single request, we would be answering…