Make a table of values for f(x) = x² - 6 showing function values for x = 4, 6, 8,.. f(x) 4 8 10 12 14 16

Q: On a certain route, an airline carries 8000 passengers per month, each paying $100. A market survey…

A: a) Given that the ticket price is x So the increase is (x-100) So the number of passengers lost =…

Q: Find the domain of the function. f (x) = square root x-7 divided by (x+10) (x-11)    (11, ∞) [7,…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 - 6x² –…

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Q: Consider the function below defined on the indicted interval. f(x)= -(10x+x^2), [-10,0] Find the…

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Q: Which of these relations is a function?

A: The solution are next step..

Q: Find all absolute and relative extreme values of the function f(x) = -x° + 2x2 - x - 1, on the…

A: Here we have to find the relative and absolute extreme values

Q: What is the definition of the piecewise function from the given domain and range: Domain: (-…

A: The domain and range is given as , Domain = (-∞,0]∪2,∞ Range = -∞,4 find the definition of piecewise…

Q: Give a geometrical interpretation of the function In x

A: To give: Geometric interpretation of the function ln x=∫1xdtt. Concept used: The area under the…

Q: Determine the intervals on which the function is increasing and the intervals on which the function…

A: According to question given thatf(x)=1-x2x

Q: determine if the function y = x^2 −9/x+3 continuous or discontinuous at x = −3

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Q: A function fis defined by Sx. x<-2 g(x) = bx, x z -2 bx².

A: It is evident that we need to find the value of b if g(x) is continuous. Now,…

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: Given :- P(x) percentage of the income spent on health care in year x and I(x) income in year x.

Q: A telephone company charges 500 pesos monthly for a specific mobile plan which includes 150 free…

A: Given that for messages less than 150 the plan withstands i.e. 0≤x≤150 is 500 pesos

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: Prove that a function of the form:is an even function.

A: The given function is  y=a2nx2n+a2n-2x2n-2+...+a2x2+a0

Q: Determine all of the relative extreme values of the function f (x) = 1 – (x – 2)- %3D

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Q: 5. When functions are defined by more than one equation, they are called functions.

A: When functions are defined by more than one equation, they are called piece-wise defined functions.

Q: give an example of a function with domain [0,1]and range consists of [-1,1]and (2,3)

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Q: If f(x) and g(x) are two functions defined on an interval then, ꭍ{f(x)±g(x)} is equal to?

A: The sum rule states that the integration of the sum of two functions equals the sum of the integrals…

Q: Use the table to evaluate f(-1). x------ -3,-2,-1,0,1,2,3 y=f(x)--- 3,-3,2,1,-2,0,-3

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Q: What do all members of the family of linear functions f(x)=  c- xhave in common? Sketch several…

A: Given :           fx=c-x

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

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Q: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

A: means f is decreasing for x&gt; - 1   means f(x) is concave up on both sides of x=-1

Q: Create a piecewise function using these points (14,2) (22,4) and ( 22,4) (35,4)

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Q: of Zzyzx has been decreasing linearly for the past 7 years when the population was 2550. This year…

A: In this question, the concept of linear equation is applied. Linear Equation An algebraic equation…

Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

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Q: 11. For the function f(x)- a) Specify f"(x): b) Specify the domain & range of f(x): i. Domain: ii.…

A: To evaluate the inverse of a function y=f(x) we need to replace y by x and x by y in the given…

Q: Let f be a 1-1 function be defined by f={(-2,-1), (0,2), (2,5), (5,-3)}. What is f^-1 (5) ?

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Q: what value of x is f(x)=6 f={(2,5), (6,5), (3,4), (-1,6)}

A: fx=6 &amp; f=2, 5, 6, 5, 3, 4, -1, 6

Q: A piecewise function f is defind by [1-x, x1.

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Q: Let f = {(- 2,1),(1, - 1)} and g = {(-2, - 4),(3,0),(5,6)}. Find f+g and its domain.

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Q: find domain of Function composition f(x)=,

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Q: Please explain how to solve. Thank you

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Q: find doman and range    f(x) = -5 ; x = -3,-2,-1,0,1,2,3

A: Domain: The domain of a function f(x) is the set of all the values of x for which the function f(x)…

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: To determine function H that represents total health care expenditures in year x

Q: even function of x if f(-x) = f(x) symmetry about x-axis Other:

A: Even function of x if f(-x)=f(x), symmetry about x-axis (A) True (B) False (C) Other

Q: Show that Rolle’s theorem is false for the function f(x) = |x| on the interval [−2, 2]. How can a…

A: Given function f(x)=|x|interval [-2,2] We apply Rolle's theorem only when the function is continuous…

Q: Consider functions f:{1,2,3,4,5,6,7}→{a,b,c,d,e,f}. How many functions have the property that f(1)≠c…

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Q: Find the first 3 Iterates of the function f(x) = - 2x + 3 when x 3 =0 . 3, - 3, 9 - 2, 0, 2 2 z, -…

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Q: Find the average rare of change of the function from x1 to x2 Function: f(x)= x^3- 5x^2-x x-Values:…

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Q: Part II. Evaluate the piecewise function for the given values of x. fx +5 if -4 x<-2 f(x)=- 1. if…

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Q: What are even and odd functions of symmetry? For example f(-x)=-f(x), f(-x)=f(x), Symmetric about…

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Q: A function is a rule for which each input is paired with ________ ____ output.

A: We know that a function is a rule for which each input is paired with only one output

Q: Determine if the function is continuous. x4-1/x2-1

A: Given:     To determine: the function is continuous or not.

Q: xpressed as a function of x.

A: Given,

Q: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x − 4/x − 2 are the same…

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Q: he critical points of the function f(:

A: Find the critical points of the function  f(x)=6x2-12x

Q: Check the differentiability of the function flz)= (スー1)

A: fz=z-1¯2z+1⇒fz=z¯2+1-2z¯z+1 Differentiating wrt z¯, we get  ∂f∂z¯=2z¯-2z+1

Q: What are the domain and range of the function? f(2)=3√x-3 Domain: (3, 00) Range: (0, ∞) Domain: [3,…

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