1: If f(X) is a convex function, then ef(x) is also convex function. True O False

Q: What are the conditions for a critical point of a function ƒ?

A: If "c" is to be a critical point of a function f , it has to be a solution of f'(x)=0 To be an…

Q: Let f be a function of x. Then f (10x) = 10 (f (x)). O True O False

A: the answer for the above statement is false. the explanation is given in the below step

Q: Let f(x) = x2 + 1 and g(x) = x + 2 be functions from R to R. If f(g(x)) = x2 + Ax + B and g(f(x))…

A:

Q: A fixed point of a function f is a number c in its domain that satisfies f(c).  In other words, the…

A: Given: A fixed point of a function f is a number c in its domain that satisfies f(c).

Q: Let f be the function from {a, b, c, d, e} to {1,2,3,4} with ƒ(a) = 3, ƒ (b) = 1, f(c) = 2, f(d) = 4…

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Q: Show if the following functions are concave or convex. f(x₁, x₂) = -x-x₁x₂ - 2x²; S = R² f(x1, x2,…

A: Given :  fx1,x2=-x12-x1x2-2x22fx1,x2,x3=-x12-x22-2x32+0.5x1x2 To check that functions are concave or…

Q: Let f be a function. If f (a) = f (6), then a = b. O True O False

A: We have to check is true or not

Q: Let f be a function. Then f (a) + f (b) = f (a + b) . O True O False

A: We need to proveor disprove if  fa+fb=fa+b

Q: . Determine if y is a function of x in x = y? + 5.

A: Given equation - x = y2+5Let's solve for y =- y2 = x-5y = x-5       ........(1)

Q: t function has a special relationship where each input has a single output? a. one-to-one function…

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Q: The table contains some input-output pairs for the functions f and g. æ| f(x) | g(x) 2 2 9 6 9 3 9.…

A: To evaluate the given expression with the given table values.

Q: 07. Suppose that f, g : R → R, are convex functions of one variable things. Let's define a function…

A:

Q: Given that A = {1, 2, 3, 4, 5} and B = {x, y, z}, determine which of the sets of ordered pairs…

A: 1.  i) This ordered pair doesn't represents a function because the values 'y' corresponding to x= 4…

Q: Use the mathematical definition of concave and quasi-concave functions to prove that: 3. (a) The sum…

A: A real-valued function f {\displaystyle f} on an…

Q: (c) Show that if f is entire and |2020 + if(z)| 2020 for all z, then f is a constant function.

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Q: Compute fx, fy and fz for the function and evaluate them at the indicated points

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Q: -1: Determine all values of x where the following function is concave down. f(x) = 1/2x² + 1²x³ = x²…

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Q: Which of the following relations does not represent a function? {(1, 2), (2, 2), (3, 2)} В. ((1, 1),…

A:

Q: 4. Let m and b be real numbers, and consider the following three functions: f(x) = 2x + 1, g(x) = -x…

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Q: Evaluate the piecewise function at the given value of the independent variable. f(x) = [x - 1 ={x -…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the value of f(-5)…

Q: f(x, y) = x /y; (1, 1) %3D

A: Given: f(x,y)=xy

Q: Let f be a linear function. If f ( 2 ) = 13, and f ( 12 ) = 8, what is the value of f ( 10 ) ?

A: Given : f be a linear function. f2 = 13f12 = 8

Q: 3. What is the domain of y =f°(e) # f(;)={-1°?

A:

Q: EVALUATE: A. Determine if the set is a function. If it is a function state its domain. 1. { (xy)/y=…

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Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.

Q: TRUE OR FALSE. The set m = {(x2,x) | x ∈ R} is a function.

A: The given set is m=x2,x|x∈ℝ We have to find the set is function or not.

Q: If (-3, 1) is in the function f (x), then which of the following points will be in the function f1…

A: We have to find the point