Consider a dataset of numbers y1, y2, ..., yn and  the linear function f(x) = 9x − 4.  Prove or find a counterexample to disprove. If a ≤ b, show that f(a) ≤ f(b). since it is a monotonic function that is increasing i was thinking of doing the derivative to prove it but i dont what else to do more to prove it after doing it.

Q: Mark each statement as true or false. a.) If a function is differentiable at x=3, it must be…

A: Topic = Application of Derivative

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Q: 14. Express f(x) = |x as a piecewise function.

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Q: Evaluate the following functions. 1. Iff(x) = x? - 2x +7, find a) f(0), b) f(2y+1). 2. If F(y) = vty…

A: Given:1. fx=x2-2x+72. Fy=yy-32

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Q: For each of the functions y = f (x) described below,find f (2).

A: f(2)

Q: Which of the following statements must be true for a function that is concave up everywhere?

A: Which of the  following must be there for a function than is  concave up everywhere .

Q: F. Determine the following given that 1. f(g(x)) 2. g(f(x)) 3. f(g(-1)) 4. g(f(2)) f(x)=x²+x-3 and…

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Q: 8. Is the following function analytical? f(z) = 2² - z²

A: Approach to solving the question:Rational Detailed explanation:The given function is:…

Q: We can not find an analytic function f=u+vi such that 3u-v is not harmonic. * True False

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Q: Consider the function f(x)=1/x on the interval [1,11]. Find the average or mean slope of the…

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Q: 4. For the functions f(x) = Vx -3 and g(x) = Vx+2, find and detemine the domain in ease case. a. gf…

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Q: 3. Determine whether the following function is odd or even. a) f(t) = t² + 2t + 2 b) h(x) = 5x7 +1…

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Q: The following function gives the average cost (in dollars) per advertisement when paying for X…

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Q: 5. Assume that V × F = V × G. What is the most general relationship between F and G ?

A: ∇ x F = ∇x G => ∇ x (F - G) = 0

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Q: In each of the following, determine whether

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Q: 1. Given f(x) is a one-to-one function with Df: [4,25] U (42,100] and Rf: (-o,-14], find the domain…

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