3. Given the function f (x) = (x – 100) (æ+125) (x – 70)² + 40 explain how the equation connects to the graphs x-intercepts (multiplicities), zeroes, end behavior and shape.

Q: Find the point at which the line f(æ) = 5æ + 17 intersects the line g(x) 3x + 9

A: Given

Q: The function f(x) = kx* + 8x² has three turning points, a maximum value of 8 and a root at x = 2.…

A:

Q: Graph the functions ƒ1x2= x1>3 and g1x2= x1>4. Find all points where the two graphs intersect.…

A: The given functions are,

Q: Find the maximum number of X- intercepts that f(X) = -9X + 15X– 8X² + 2X + 37 may have. %3D None of…

A: Maximum number o x- intercepts are

Q: G2 Salve the follow ing inqualitie 3. 24\X+3< \x-8 12x-1) メ-2 く1 メ+3

A: Absolute value properties:  1. x ≤ a ⇔ -a ≤ x ≤ a 2. x≥a ⇔ x ≤ -a and x ≥ a Given: 1. 32x - 1≥4 2. x…

Q: True or false: The y-coordinate of the vertex of f(x) = 4x2 - 16x + 300 is f(2)._________

A: The given statement is true.Calculate the x - coordinate for the of the vertex for the given…

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

A:

Q: 6. Determine the vertex and the axis of symmetry for f(x) = 3x2 – 5x + 12

A: We have given a quadratic function.  We have to find the vertex and line of symmetry

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x - 0.2x2 . The…

A: Since you have posted a multiple subpart problem, we solve only the first three subparts for you .To…

Q: b. f(x) = x - 3 x² – 9 2-

A: The given function is,   f(x)=x-3x2-9

Q: 2. For the quadratic relation, y= -(x+0) (x + 6) explain how to find Equation of the axis of…

A:

Q: An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from…

A:

Q: Find the zeros of the function. g(z) = 7z2 +21

A:

Q: f(x)=2x2-7x-30 -What is the vertex? -What are the x-intercepts? - What is the y-intercept?

A:

Q: 15.What is the y-intercept of the function represented by the quadratic equation g (x) =- (x- 4) ?

A: For y intercept put x=0 in given equation.

Q: Given that f is a quadratic function with minimum f(x) = f(2) = 5, find the axis, vertex, range and…

A:

Q: The revenue from the sale of a product is given by the function R= 289x-x², (a) Use factoring to…

A:

Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]

A:

Q: The path of a diver is modeled byf(x) = (−4/9)x2 + (24/9) x + 12where f(x) is the height (in feet)…

A: Givenf(x) = -49x2+249x+12here, a = -49 , b = 249this is downward opening parabola.

Q: Thando furniture manufacturer, determines that in order to sell x chairs, the price per chair in…

A:

Q: - Discuss the maximum and minimum of x + y +6x+12. .2

A:

Q: 8) Given f(x) = -5x² – 7x + 2, without graphing, determine whether it has a maximum value or minimum…

A: Given function is fx=-5x2-7x+2 To find: Critical point, Maximum and minimum points

Q: Use desmos to find the vertex for f (x) = x² – 6x + 13. -

A: Given :- f(x)=x2-6x+13 To find:- use desmos to find vertex

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given: R(x)=80x-0.5x2

Q: True or false: The y-coordinate of the vertex of f(x) = 4x² – 16r + 300 is f(2). . %3D

A: Given quadratic expression is: fx=4x2-16x+300 Let y = f(x) We have to find the vertex of f(x).

Q: Given (-1,12) is the maximum point for a quadratic function f(x) = 4h-(2k+x)²,where h and k are…

A: Given quadratic function is fx=4h-2k+x2

Q: A retail store has determined that the daily profit for the store is related to the number of…

A: for maximize profit put p'(x)=0.

Q: Suppose that the x-intercepts of the graph of y=​f(x) are5 and 9.What are the​ x-intercepts of…

A: Given,           The x-intercepts of the graph of y=fx are 5 and 9.To find: The​ x-intercepts of…

Q: ²+6x +8 a. f(x) : x + 2

A: I am attaching image so that you understand each and every step.

Q: The Range of the quadratic function f(x) =-² +24r + 55 is O (-55, 12] O (-00, 55] O [55, 00) О (),…

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Q: 3) Determine the coordinates of the vertex for the function f (x) = -2x? + 12x +7 using any method.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x – 0.2x². The…

A: The monthly revenue R achieved by selling x wristwatches to be R(x)=75x-0.2x2The monthly cost of…

Q: With profits from an Apple orchard is given by P(x)=x(404−2x) dollars, where x is the number of…

A: Given :-Profit function isP(x) = x (404-2x) dollarswhere x is number of almond trees per acreWe have…

Q: What are the x-intercepts of f (x) = x² + 5x – 36? O -4 and 9 O3 and -12 O 4 and -9 O -3 and 12

A: For x-intercepts just put f(x) = 0 and solve the quadratic equation.

Q: The average cost per hour is dollars of producing x riding mowers is given be the following: C(x) =…

A:

Q: need to find the x-intercepts of the quadratic by factoring  f(x) = 3x2 - 9x + 6

A: Given query is to find the x intercepts of quadratic.

Q: If the zeros of the function f(x) = x² + 16x + 60 are x = -6 and x = -10, wl are the coordinates of…

A:

Q: Given that f is a quadratic function with minimum f(x) = f(5) = 4, find the axis, vertex, range and…

A:

Q: 2. Suppose the revenue R in thousands of dollars that a company receives from producing x thousand…

A: The problem involves the revenue function and its graph (a parabola). Note that the units x and R(x)…

Q: The daily revenue R achieved by selling x boxes of candy is figured to be R(x) = 9.5x - 0.04x2 . The…

A: Given the daily revenue R(x)=9.5x-0.04x2And the daily cost C(x)=1.25x+250

Q: 4. Sketch the graph of the quadratic relation y = x² and in a different colour the graph of y = 2(x…

A:

Q: 3. The total profit (in thousands of dollars) from the sale ofx hundred thousand automobile tires is…

A: Explanation of the answer is as follows

Q: 2. State the domain of the function. x² -3x +2 a. y=- x-4

A: The objective of the question is evaluate the domain of the given function.

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A: Given that: P(x)=32x-0.2x2-200

Q: In the xy plane, the graph of the function f(x) = x2 + 5x + 4 has two x-intercepts. What is the…

A: x- intercepts are the points where the function touches the x-axis. So if the function touches the…

Q: The profit for a product is given by P = 1600 – 100x + x² , where x is the number of units produced…

A: P = 1600-100x +x2a) for minimum profit dPdx =0dPdx= -100+2x = 0        dPdx&lt;0 till   x = 50⇒x =…

Q: The owner of a video store has determined that the profits P of the store are approximately modeled…

A: Profit function, P(x) = -x2 + 30x + 76

Q: 2. Which of the following represents the y-intercept of the graph of the quadratic function y= 2x² –…

A:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by…

A:

Q: Suppose the revenue R in thousands of dollars that a company receives from producing x thousand…

A:

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.