Given the function f(n) = (n – 1)(n + 6)(n - 4) %3D its f-intercept is its n-intercepts are

Q: If the profit function is  p(x)=-0.5(x-90)^2-50x+3850 what is the profit when producing 40 items?…

A: Consider the given function px=-0.5x-902-50x+3850

Q: Find the value of b that gives the function the maximum value of 19. f(x)=-x^2+bx+3

A: At the point of maximum the first derivative of the function becomes zero and the second derivative…

Q: The sales function for a product is given by S(x) = 119 + 23.1x² – 0.7x³, where x represents…

A:

Q: 16) For the function: f(x) = 4x² +6x+1 A) Find the intercepts.

A:

Q: Given the function g(x) = (x – 1)(z + 2)(z - 3) its g-intercept is its -intercepts are

A:

Q: Given the function P(n) = (n - 3)(n + 2)(n - 4) its P-intercept is its n-intercepts are

A: Given Data- We have given a function- P(n) = (n - 3)(n + 2)(n - 4) We have to find the P-intercept…

Q: If f(-6) = 6 and f '(x) < 8 for all x, what is the largest possible value of f (3)?

A:

Q: I know this question was already asked and answered, but the answer is incorrect, please help!   A…

A: Given data C(x)=13x+108,  R(x)=7x.

Q: Given the function P(n) = (n – 2)(n + 6)(n – 4) its P-intercept is its n-intercepts are

A:

Q: Given the function g(n) = 4nª + 28n³ + 40n² its g-intercept is its n-intercepts are

A: gn=4n4+28n3+40n2 To find its g-intercept, put n = 0, we get g0=404+2803+4002=0 Therefore g-intercept…

Q: 1. Find the range of values of x for which y = x3 + 5x2 - 8x + 1 is increasing.

A: We have to find the range value of x

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: Find the values of k for which f(x) = kx3 -9kx2+9x+3 is increasing on R

A:

Q: For f(x) = −x2 + 8x − 4, the value of −b/2a is 4. Find the y-coordinate of the vertex of the graph…

A: Definition used:The vertex of a graph is the maximum or minimum point of a parabola.The x value of…

Q: 4. Find the inflection points of f(r) = x-4r + 18x2-6x+1

A: To determine the inflection of the given function.

Q: Find the profit function if cost and revenue are given by C(x) = 186 + 5.6x and R(x) = 4x - 0.02x…

A: Given :

Q: The graph of f(x) = x³ + 6x² + 7x has a point of inflection at r = -5 -2 1 -1 O 3

A: Consider the following function: fx=x3+6x2+7x Differentiate fx with respect to x:…

Q: Given the function f(x) = 3x* - 12x- 15x2 Its f-intercept is Its -intercept(s) is/are

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+110 and a revenue function R(x)=6x. When…

A: I am going to calculate that when the company will start to run on profit just is when revenue…

Q: If Q(x) =  x^3 − 25x + 100 is the cost per item of producing x-items. Is the cost per item…

A:

Q: 2) Find the domain of the function. 7- 4x f (x) = 3x + 2

A:

Q: The revenue function for a school group selling n bookmarks is given by Rin) - 2n, and the total…

A: It is given that the revenue function for the school group selling n bookmarks is Rn=2n and the…

Q: What is the leading co-efficient of. 6x -9 f(x) = 1 x ²³² 4 +

A: If y = ax^2 + bx + c  than leading coefficient is a

Q: Maximize f = 5¤1 + 7x2 + 11a3 subject to 10r1 + 8x2 + 11a3 0

A: Consider the provided LPP problem, maximize  f=5x1+7x2+11x3Subjected…

Q: Describe the long run behavior of f(r) = – 5r° + 2r - 3r2 + 3

A:

Q: Given the function g(n) = (n – 1)(n + 5)(n – 2): the coordinates of its g-intercept are the…

A:

Q: Given the function f(n) = (n– 1)(n+5)(n- 2) its f-intercept is its n-intercepts are

A: Given, f(n)=n-1n+5n-2

Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

A:

Q: If f(x) = 2x3 + Ax2 + 4x - 5 and f(2) = 5, what is thevalue of A ?

A:

Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

A:

Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given that the cost function is = C(x)=40x+100Revenue function=R(x)=−0.5(x−80)2+3,200So,…

Q: Raffs Ltd, a clothing firm, determines that in order to sell x suits, the price per suit must be p=…

A: Note: Is the cost function c(x)=(0.1)x2+6x+30. Given the price per suit is p=90-0.2x and cost…

Q: A catering company estimates that, if it has x customers in a typical week, its expenses will be…

A: Given: C(x) = 550x + 6500  R(x) = 1200x (a) How much profit will the company earn in 1 week when it…

Q: For f(x) = −x2 + 8x − 2, the value of −b/2a is 4. Find the y-coordinate of the vertex of the graph…

A: Solve the following

Q: Given the function g(n) = (n – 7)(n + 3)(n – 4) its g-intercept is its n-intercepts are

A: gn=n-7n+3n-4

Q: Suppose f(x)=−x2+10x−6 models the per household smoothie consumption, in quarts, in the town of…

A: Given that : fx=-x2+10x-6. Therefore, take first order derivative : f'x=-2x+10. At f'(x)=0 , we get…

Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A:

Q: Given the function C(x) = (x – 2)(x + 4)(x – 7) its C-intercept is its a-intercepts are

A:

Q: Given the function g(x) = (x – 5)(x + 4)(x – 2) its g-intercept is its T-intercepts are

A:

Q: What is the value of f(1)-16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A: Please follow the next step.

Q: Given the function f(n) = 3n¹ +33n³ +90n²: its f-intercept is its n-intercepts are

A: We can find the intercepts as below in the following steps.

Q: The profit, P, (in dollars) for Ace Car Rental is given by P =100x -0.1x2 , where x is the number of…

A: P =100x -0.1x2  is a parabola eith negative lead coefficient. So it will have the maximum value at…

Q: Find x-intercept(s) of the graph of function g(x)=/3x+7-1.

A: gx=3x+7-1

Q: Let p=(12-2x)^2 for 0≤x≤3 be the price at which x hundred units of a certain commodity will be sold,…

A: Given: P=(12-2x)2         for 0≤x≤3            Revenue   R(x)=xP(x) then    R(x)=x12-2x2…

Q: Given the function g(n) = 7n² – 2n° + nº + n - There are at most n-intercepts, and at most turning…

A: In the polynomial having degree 'n' , the maximum number of intercept is same as degree. A…

Q: Given the function f(n) = (n – 2)(n + 1)(n – 6) its f-intercept is its n-intercepts are

A: Given function f(n) = (n-2)(n+1)(n-6)

Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b&gt;4B When is the function increasing and when is…

A: Function is increasing where slope f’(x) &gt;0 and decreasing where f’(x) &lt;0. Find the derivative…

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:…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.