8. Determine which of the following functions are one-to-one. (a) gi: {1,2, 3, 4, 5} → {a,b, c, d, e}; g1(1) = b, g1(2) = b, g1 (3) = b, 91 (4) = a, 91(5) = d (b) g2: {1,2,3, 4, 5} → {a,b, c, d, e}; 92(1) = d, g2(2) = b, g2(3) = e, 92(4) = a, g2(5) (c) 93:N→ N; 93(n) = { (n+ 1)/2 if n is odd %3D %3D |n/2 if n is even (d) ga:N→ N; ga(n) = {n-1 if n is even Įn+1 ifn is odd

Q: 1. Which of the following represents a function? A. 3 5 8 12 16 B. (0,2), (-1,3), (-1,-3), (-2,-5)…

A: From the given table values and ordered pairs, we have to find the function. Function:   A relation…

Q: Assume that the number N of concert tickets which can be sold at a price of P dollars per ticket is…

A: Given The number N of concert tickets which can be sold at a price of P dollars per ticket is a…

Q: Given data points (-2, -2), (-1, -1), (0, 0), (1, 1), (2, 2) sampled from a function f. Compute the…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:To compute 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: The linear supply function for apples at a market is: Q = 924 + 16.3P where Q represents the number…

A: The given linear supply function for apples at a market is Q=924+16.3P.

Q: nctions? ) {(b,1),(b,2),(b,3)} ) {(a,2),(b,2), (c,2)} e) {(1,1),(1,2),(2,3)}

A:

Q: Write the linear function f for which f(1) = 3 and f(4) = 0.

A: Write the linear function f for which f(1) = 3 and f(4) = 0.

Q: 79 Determine the domain and range for the function: y. 4. -5 -10 -9 -7 7 9. O D: (-10,-9,-7,-5,1) R:…

A: The domain is the set of all first elements of the ordered pairs. The range is the set of all second…

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: What is the y-intercept of the function A- (-1.5,0) B- (0,-1.5) C- (3,0) D- (0,3)

A:

Q: Let A = {a, b, c, d} and f = { (a, 0), (c, 12), (d, 18), (b, 12) }. Is f a function from A to B ?…

A: Given, A = {a,b,c,d} f = {(a,0) , (c,12) , (d,18) , (b,12)}

Q: 1. Write the equation for these functions. a) b) 110 15 90 80 70 10 60 5 50 40 30 -2 1 4 20 -5 10 -5…

A:

Q: For what values of p is the set of ordered pairs {(1,3), (2p, 4),(4,p)} a one-to-one function? A p…

A:

Q: 2. Find the Domain of the given functions/relations A={(1,3),(2,4),(3,0) B={(1,2),(0,2).(5,4) D={2,…

A: Here, we have to find domain (D) and range (A) of set A and B

Q: 14 22 16  C.  X -11 -5 -1 -5 Y 16 14 16 15  D.  X -11 -5 -11 3 Y 16

A: Option (B) is correct.

Q: 3) f = {(0, a), (1, d), (5, e), (9, c)} find the inverse of this function.

A:

Q: Which set of ordered pairs (�,�)(x,y) could represent a linear function? A=   {(−8,9),  (−3,4),…

A:

Q: If (1, a), (b, ), (c, 17) are points on the graph of the function h(t), which points are on the…

A:

Q: Find the interval in which the following function is decreasing: 3 -1 1 -1 -2 -3

A: A function f is said to be increasing  if f(x1)<f(x2) for x1<x2 and x1,x2 belonging to the…

Q: Let A {a, b, c, d, e} and B = {1, 2, 3}. a. Find the number of 1-1 functions from A to A b. Find the…

A:

Q: Given f = {(-3, 40), (-2, 25), (-1, 14), (0, 7), (1, 4), (2, 5), (3, 7)} and g= {(1,4), (0, 5), (1,…

A:

Q: Determine a function question

A: Given: x y 2 -2 5 19 -3 3 7 43

Q: [9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3),…

A:

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² y =…

A: We have to differentiate following functions using chain rule: y= x(x2+3) 2 y= (4x-10) 4 y=…

Q: 3. Which of the following sets represent invertible functions? Select all that apply. {(2, 3), (–2,…

A:

Q: f={(-4,-7), (1,-4), (8,1)} and g={(-7,9), (1,8), (3,7)} find g of f

A: Given query is to find the composite function g of f

Q: Which of the following set is not a function? a. D {(8,2), (-1,5), (-5,2), (5,0)} %3D b. B = {(3,2),…

A: We have to find that which of the above set is not a function.

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

A:

Q: Which of the following is not a one - to - one function? {(1, a), (3, b), (4, c),(2, a)} {(2, b),…

A: A function f from A to B is said to be one-to-one, if every unique element of A maps to a unique…

Q: A {(0,1), (1,2), (2,3), (3,4)} B {(1,3), (4,2), (2,0), (3,4)} c) {(0,2), (1,3), (4,3), (1,2)}

A:

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

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.