Q: Compare the graph to its parent function (the basic elementary function). Then, describe how the…
A:
Q: We have seen that temperature in Fahrenheit is a function of temperature in Celsius. Is it also true…
A: It is given that Farenheit is a function of temperature in Celcius.And the temperature in Celsius…
Q: Differentiate the functions.
A:
Q: Determine a function using x and y that models the relationship above. Part B What is the…
A: here use basic of regression line
Q: The City Council proposed to utilize a government-owned d with an area of 15, 000 square meters.…
A: Given: Since the total land area is 15,000 square metres. And, one-third of the area will be used to…
Q: How is the vertical translation related to the algebraic function and what does it represent in…
A: Vertical translation:- The value by which graph shifted vertically For sine function y=Asin(Bx)+C As…
Q: Explain why every nonconstant linear function has an inverse.
A: Given: A linear function has an inverse.
Q: Describe the graph of f (x) = ex
A:
Q: What is the common way to obtain a new function from an existing one?
A:
Q: Describe the transformation of each function compared to its parent function
A: Solve the following
Q: represents
A: False
Q: The graph is a translation of one of the basic functions y= x, y=x, y = Vx, y= x]. Find the equation…
A: The given graph is
Q: The function y = x+ 2 could be a vertical translation of y=x two units upwards or a horizontal…
A: Given function is y=x+2 Let the function is of the form y=x+h If h>0 then the function is…
Q: . Describe the transformations that must be applied to y = x to obtain the function f(x) = – (x +…
A:
Q: 52х — %3D 12 4(5*)
A:
Q: How can the composite function be evaluated?
A: To explain how the composite function can be evaluated.
Q: Identify the function whose graph appears above. f(x) 3D %3D
A: The given graph appears to be tangent function.
Q: What must be done to a function’s equation so that its graph is reflected about the x-axis?
A: What must be done to a function’s equation so that its graph is reflected about the x-axis?
Q: Use the "Big Idea" of transformations to find equations for these two functions.
A:
Q: differentiate y= (4x + 3)2 using the Chain Rule. a. What is the outer function? b. What is the…
A: Given: y=4x+32
Q: Q1 Find y'' y= 3x+4/2x-1
A: The given function y=3x+42x-1 Differentiate using the quotient rule duvdx=vdudx-udvdxv2
Q: By the end of February, Rachel's family had used 7, 800 kilowatt hours (kWh) of electricity since…
A: Let x = Number of months since the end of February y = Electric meter reading in kWh
Q: Differentiate the function below. y=(x2+2)(x2-3)8 The answer is (2x)(x2-3)7(9x2+13) but I keep…
A: Given , y=(x2+2)(x2-3)8 Let u=x2+2 and v=(x2-3)8 Therefore ,y=uv differentiate with…
Q: describe the transformation of the function y=1/x+3 -4 from the parent function y=1/x
A: Transformation means how much a function moves to the left, right, up or down from the parent…
Q: What is the function that results from the transformation ?
A:
Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 2x2. (Use decimal notation. Give your answers…
A:
Q: y = 6(x)' + 6
A:
Q: The sum of two positive numbers is 60. Find a function that models their product P in terms of x,…
A: Concept: The calculus helps in understanding the changes between values that are related by a…
Q: Describe the shift of the function f(x) = Vx – 1 – 4 from the parent function f(x)=vx .
A:
Q: 6) If the graph of y = /x is translate equation for this function. 7) If the graph of y =x' is…
A: (6) Translating up by 4 units results y=x+4 Translating new function to 5 units left results y=x+5+4…
Q: I am not understanding how to do piece wise functions, especially the conditions. Please explain as…
A: The given function is y=-x+4x≤023x-10<x≤52x>5.
Q: I need to graph the function f(x+1) given the graph of f(x)=x^2
A: As we replace 'x' with 'x+1' in f(x). The given graph of f(x) will shift towards left i.e towards…
Q: -10
A:
Q: (d) Differentiate the implicit function below. y 3 + y = 2x2 +4
A: dy3+ydx=d2x2+4dx dy3dx+dydx≡d(2x2)dx+d(4)dx 3y2dydx+dydx=4x.
Q: Based on your work above, please describe in detail how the graph will transform the parent…
A: When a function f(x) is transformed into f(x) + d , then-
Q: When examining the formula of a function that is the result of multiple transformations, how can you…
A:
Q: What do the Algebraic functions include?
A: An algebraic function include variables, constants and algebraic operations (such as addition,…
Q: Differentiate the function. y = (4x-11)2
A: Chain Rule of differentiation : dydx=dydu·dudx
Q: What are the Algebraic Functions?
A: algebraic function
Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 4x². (Use decimal notation. Give your answers…
A:
Q: The graph of y=sec(x) and y=csc(x) are transformations of each other. 1) Explain what transfermation…
A:
Q: For this process we'll use the function f(x) = x² - 2.
A: Given Equation: f(x)=x2-2 To calculate: Newton's method of finding x1 and x2
Q: Describe the shift of the function f(x) = Vx – 1 – 4 from the parent function f(x)=Vx.
A: Given parent function is parabola opening rightward having vertex at (0,0 ) and have only upper half…
Q: (1-x)
A:
Q: Solve both parts. Having difficulty with this set of piecewise functions.
A: (a). The given function is: f(x)=3 if x<2-4if x≥2
Q: Describe the graph of f(x) = ex
A: Given: f(x) = ex To describe: The graph of f(x) = ex
Q: Differentiate the given function. y= (5x2 + 3) 3 2x-5+ y's
A: We have to differentiate the given function…
Q: DIFFERENTIATE THE FOLLOWING FUNCTIONS USING CHAIN RULE. PLEASE SHOW YOUR SOLUTIONS. 1. Differentiate…
A:
Q: What happened to the V shaped function of |x| when it transformed to |x + 3
A:
Q: The original and restricted functions are not the same functions.True or false?
A: Given, 'The original and restricted functions are not the same functions.
Step by step
Solved in 2 steps with 2 images
- Describe the transformations on y=x sqaured to obtain the graph of y= -2(x-6) sqaured +3. Vertical stretch by a factor of __________ about the _____-axis. Vertical reflection about the _____-axis. Horizontal translation _____ units to the __________. Vertical translation _____ units __________.continuous from attached image... ... to the graph of y2 - 3x + 2 = 0. (do not simplify or evaluate)Your friend attempted to graph theequation f(x)=-2cos(1/3(x-60))+3. Based on their graph of the parentfunction (solid), and the transformed function (dashed) below, describewhich transformations have been applied correctly, and which have not.Justify your answer.
- FGH has vertices F (-2,1) , G(-2,4) and H (0,2) . Graph FGH . Then reflect it across the X-axis and translate it 3 units downy= -5(x-1)7 (x-2)4 (x+30)5 Give its boundary behavior, x and y-intercepts. For the x-intercepts, give the corresponding multiplicities and explain what that means for the behavior of the above function near those points. Explain in words what the graph of this function would look like.2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 - x²- y² that passes %3D through the point (2v2, v2)
- The long run. A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental cost of its machinery is $6 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination. The firm is currently using 1 hour of labour for every 3 hours of machine time. (Assume that labour is on the horizontal axis and capital is on the vertical axis). 3. Graphically illustrate your answer by drawing an isoquant, an isocost line for the current combination of labour and capital and an isocost line for the optimal combination of labour and capital. An isocost corresponding to the optimal combination of labour and capital is [a vertical line, a horizontal line, an upward sloping straight line, an upward sloping curve which is not a straight line, a downward sloping straight line, a downward sloping curve which is not a straight line, L-shaped] has slope [ ] at the optimal combination of inputs An isoquant…Vertex (−2, −2), asymptotes l1: 4x − 3y + 14 = 0 and l2: 4x + 3y + 26 = 0