Let f(x):= 3. Select all of the following properties that f: A → B satisfies, when A=2Z and B = Z (Recall that cZ = {cx : x = Z}) a) Va € A: f(a) is defined. b) va € A: Vb, c = B: [(f(a) = b^ f(a) = c) ⇒ (b = c)] Oc) Va € A: f(a) € B

Q: Are the following functions quasi-concave? Assume x ≥ 0 a) f(x) = a b) f(x) = a + cx², c < 0

A: Both questions are different so I soved 1st queation if you want 2nd one then repost it again.

Q: 3. Let d= = [( ) ( ) ( ) ( )], B = [1, 2, 2²), v = (¹). " (a) If f(x)=x²-3x+2, compute [ƒ(x)]ß. -1 2…

A: Our objective is given below:

Q: Which of the following is the reciprocal of a linear function? O a) f(x) = b) f(x). = 6 2x + 1 1 x²…

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Q: 1. Describe all functions f such that f(r) ar² + bx +c and f(1) = 2 and f(-1) = 6.

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Q: Jeremy can row 1/3 of a mile in 1/4 of an  hour. What is the unit rate

A: Jeremy can row 1/3 of a mile in 1/4 of an  hour

Q: Prove that the linear function f(x) = ax+b is continuous.

A: To prove that the given linear function is continuous.

Q: - Given the functions f(x) = x² + 1and g(x) = 3 − x, determine an equation for the combined function…

A:

Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

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Q: A can is in the shape of a cylinder. The can has a volume of 342 cubic inches and a diameter of 6…

A: Given query is to find the height of the can

Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

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Q: A function is defined as f(x,y) = 25xy + 3x³ - 7x² sin(y) aj ay a2f (ii) Find and 1325 3²x (iii)…

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Q: Pls help ASAP

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: 1. Let f(x) = 3x + 1, g(x) = 7 – 2x, and h(x) = x² – 4.x + 5. Find the following: a) (f + g)(2) b)…

A: 1. Given, f(x)=3x+1g(x)=7-2xh(x)=x2-4x+5

Q: example of two functions t₁ (n) and t₂(n) that satisfy the relations t₁(n) w(n²), t₂(n) = w(n²) and…

A: Given that the two functions t1(n) and t2(n) that satisfy the relations                t1(n)=ω(n2),…

Q: Q1 a) let f be a function defined as f(x)=3x² + 2x². Find f(2), f(-1), f(1). b) Define functions f…

A:

Q: 1. The functions fi(x) = 4x, f2(x) = x² + 6x, and fз(x) = 4x² + 12x do not form a linearly…

A: Step 1:  Step 2: Step 3: Step 4:

Q: the degree of homogeneity, if there is one, for eac 1 X1,X2, X3) = - xf +x +x X2 X3 O gro finotion:…

A: Introduction: For a function f(x,y), the degree of homogeneity is an integer n such that,…

Q: Select the following functions that are bijective. ƒ₂: R → R, ƒ₂(x) = 14 f₂: R → R, f₂(x) = x f₁: R…

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Q: 4. Show that the function f: R → R defined by f(x) = x² - 3x + 1 is not one-to-one.

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Q: 5. Given f(x) = Vx – 3 and g(x) = 3x* – x? + 2, find %3D a) (f•g)(x) b) g(F(x)) = Domain:

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Q: Determine the domain of the following functions: За — 6 a) a(x) b) b(x) = /5 – x c) c(x) = 3x4 –…

A: We can find the domain of the given functions as below.