6. Write a formula for the function obtained when the graph of f(x) = /x is shifted up 1 unit and to the left 2 units.

Q: Suppose f(x)=(x−1)/(x+6). Write an expression in terms of x and h that represents the average rate…

A: fx=x-1x+6

Q: s rate of change of the function at the given x-value. f(x) = 3x2 + x − 3 at x = 1

A: Given: fx=3x2+x-3 To find rate of change of f(x) at x=1

Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

Q: Practice question 5.3

A: Graph the following functions based on f(x)=|x|G(x)=|x-1|+1H(x)=|x+3|-2

Q: What happens to the function f(x) = (x – 1)² +1 when it becomes f'(x) = ((x- 1)² + 1)? O It is…

A: topic - transformation

Q: Suppose that a sum Po is invested at an annual rate of return r compounded continu- ously. (a) Find…

A:

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: 8) Sketch the function with the zeros (X+ 3) (x+ 1) (x -2) and the y-intercept of -6. After doing…

A: Given: Given that the function (x+3) (x+1)2 (x-2) To Find: To sketch the given function

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

Q: Oct 28, 2020 f'(x) if f(x) = e(3v&-2)x*(2 – 3x)°. f(x) fferentiation to find

A:

Q: It was determined that the number of prey consumed by a predator over a period of time was a…

A:

Q: Suppose f(x)=(x−3)/(x+4) Write an expression in terms of x and h that represents the average rate of…

A: fx=x-3x+4 The average rate of change of f over any interval x, x+h is fx+h-fxh.

Q: 9. The rate at which the value, V, of a painting changest years after it is completed is given by…

A: Image is attached.

Q: The difference between f'(3) and f'(x) is that f'(3) is a numerical value and f'(x) is a function of…

A: Explanation of the answer is as follows

Q: A particular radioactive isotope has a half-life of 400 years. The time required for only A% of the…

A: The half-life of the radioactive element is the time during which half of the radioactive element…

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: For what values is the function f(x)= ln(x+1)/x^2+1 continous? Can you please explain how to…

A: If , g(x) is continuous and h(x) is continuous. Then g(x) / h(x) is continuous.where h(x) not equal…

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x>6 Since the function is a polynomial function for all x<6…

Q: tind the derivatiues of given functions with respect tox. 12

A: Please refer to the image below

Q: 2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3°, where t is given in…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: ie laylor functions at the give 10 x - x at a = -2 X -.

A: Since you have asked multiple questions, we will solve the first question for you.  If you want any…

Q: Suppose f(x)=(x−4)/(x+4). Write an expression in terms of x and h that represents the average rate…

A: Given: fx=x-4x+4, To find: The expression of average rate of change of f over any interval x,x+h.

Q: Suppose we have a tank that contain 10 litres of water and 50 g of salt. The salt solution is…

A: given , tank that contain 10liters of water and 50 gram of salt .  so , initial concentration =>…

Q: 5. The function is decreasing everywhere and changes from concave up to concave down at x = -1 and…

A: The graph of the function. We have to check whether the given statement is correct or not.

Q: 3 Suppose f(x) = 6x°. Write an expression in terms of x and h that represents the average rate of…

A: Given, f(x)=6x3

Q: Suppose that the price p, in dollars, and the number of sales, x, of a certain item are related by…

A:

Q: 1. Match the equation of the following functions to the appropriate graph. Justify your answer. . ..…

A: The given function is, i) f(x)=22(x-3)+2ii) h(x)=-122x+2-2iii) g(x)=12-x+1-2iv) k(x)=-2x-3+2

Q: Based on data for the years 1910-2007, the expected life span of people in Country A can be…

A:

Q: When $1000 is invested at r% interest (compounded continuously) for 10 years, the balance is f (r)…

A: Consider that $1000 is invested at r% interest compounded continuously for 10 years. Calculate the…

Q: 9) Differentiate the following function. Simplify your answer as much as possible. Show all steps y…

A:

Q: The revenue (in millions of dollars) from a manufacturing process is projected to follow the model R…

A: Profit=Revenue-Cost

Q: The line tangent to the graph of g(x)= x^3 - 4x + 1 at the point (2,1) is given by the formula: L(x)…

A: The objective is to find the correct statements. It is provided that line tangent to the graph of…

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

A:

Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

Q: 9. The functionƒ has the property that f(x), f'(x), and f'(x) are negative for all rea values, x.…

A: Given The graph of functions We have to find the graph in which f(x),  f'(x) , f''(x)  all are…

Q: 5. Which of the following functions grows the slowest as x goes to infinity?

A:

Q: 16 For each of the following rules, indicate whether it is an increasing linear function, decreasing…

A: Let the given function is     y=arx then it represents an exponential function case-i if r<1 then…

Q: 7. Order the following functions from slowest growing to fastest growing as x→∞. a. e b. x* c.…

A:

Q: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

A: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

Q: Q3. Discuss: max f(x), where f(x) = cos.x . (Start with a graph of the function, and confirm your…

A:

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: h) f(x) = |Inx|

A: Sketch the following function showing in the given expression.  f(x) = 1/|lnx|

Q: The usual estimate that each human-year corresponds to 7 dog-years is not very accurate for young…

A:

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: 2-Find the instantaneous rare of change for the above function at X = 3

A: 2. Let fx=1x2, x0=3

Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

Q: 7. If the number of bees in a beehive are modeled by the function b(t) = te +1 thousand bees, where…

A:

Q: 1. Write an equation that expresses the fact that a function f is continuous at the number 4.

A: