The following functions all have {1, 2, 3, 4, 5} as both their domain and codomain. For each, determine whether it is (only) injective, (only) surjective, bijective, or neither injective nor surjective. ? ? ? ? ✓1. f v 2. f = = 1 1 4. f(x) ✓ 3. f(x) = 1 2 3 2 4 3 2 3 4 5 1 2 2 3 = ſ³ X - X √x+2 6 - X 4 5 1 2 if x < 3 if x > 3 if x < 4 if x > 4

Q: An open box is made from a square piece of cardboard 30 inches on a side by cutting identical…

A: Given: An open box was created from a square piece of cardboard by cutting identical squares from…

Q: Which of the following expressions has a domain that is a subset of the domain (i.e. set of all…

A: We can find the domain of each function and then find the answer.

Q: 3. Create/Draw one (1) example for each of the following types of function: a. Surjection function…

A: We solve this by using definition of the following

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: Use the Law of Sines to solve the triangle. (If an answer does not exist, enter DNE. Round your…

A: Using sin rule

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: Differentiate the following function. Do not simplify unless indicated. d e-3 dz z+1 (factor and…

A:

Q: Which of the following represent the order pairs for the function f(x) = 3x + 1 if the domain is {…

A: Given  f(x) = 3x +1  Domain of function is {1, 2 ,3 , 4}    We need to find the ordered pairs for…

Q: 2. Let f,g: R→→→→Rand : RR be given functions. Determine if each statement is true or false. (i) If…

A: Given : f, g : ℝn→ℝ and ϕ : ℝ→ℝ are functions We have to determine if each statement is true or…

Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

A:

Q: B Evaluate the piecewise function f at the given x-values. Write the answer using function notation…

A: In the given graph, the bold line indicates the function. The open circle is not included in the…

Q: A 1.Find the domain of following functions: a.f (x) = {(2,6), (3, 9), (7, 11), (4, 0), (-1, 12)} and…

A: We are asked to find  domain and composite of the function

Q: Assume g is a one-to-one function. If g(x) =x2+ 10x with x 2 -5, find g1 (4) 2. 10+ 10 а. b. -10 -6…

A: Consider the function,

Q: Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B.…

A: givenA = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B

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…

A:

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: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

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: Find the final amount of money in an account if $7, 600 is deposited at 6.5% interest compounded…

A:

Q: Refer to the functions f and g and evaluate the functions at x= -4 f={(6,8), (4,5), (-4,-4), (0,0),…

A:

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: brehecn a

A:

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

A:

Q: Determine if the following relations describe a function. Justify your answer. a.) R₁ = {(-2,0),…

A: