Fe ench of the fellowing funeticns, determine (i) whether or not it is injecetive and (i) wbether or not it is surjective. (a) f: 2/5- Z/5 defiaed by f(a) - ar. (b) /: Z/6 -- Z/6 defised by f(e) - dr. (e) Let S be the set of all wqunces ( with a. e (0, 1..), and kt /:8- 0.1] be defined by

Q: Let f (x) + 4. Evaluate f (-8). 2 (2 f(-8) = Number

A:

Q: Which of the following sentences are statements? Select one or more: O a. The sum of two odd…

A: A sentence is a mathematical statement if it is either True or false.

Q: Is the following relation a function?

A:

Q: Describe in words an example of a binary relation on A. Your example should be a single concise…

A: If set A has n elements than number of relation on A is 2n.n.

Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove that the relationship is…

A:

Q: Translate into an expression and then simplify Twice the number minus 6 times the difference of a…

A: Disclaimer: Since you have asked multiple question, we will solve the one question for you. If you…

Q: Let A = {1, 2, 3} and B = {0, 1, 2} and let R be a relation from A to B if, and only if, x is less…

A: Given, A=1, 2, 3B=0, 1, 2

Q: Let Y be a relation defined by a Y b iff a times b is even. Is 5 Y 7 true?

A: Here, the given problem is on relation on set. We will solved the problem  step by step.

Q: Every function is a relation of its domain and codomain. O True. O False.

A: A relation defined between two sets X and Y contains ordered pair a,b such that  a∈X ,  b∈Y. It…

Q: Determine whether the given statement is true or false. If the statement is false, make the…

A: Consider the functions fx=x3    and   gx=x13. Note that  f∘gx=fgx=fx13=x Similarly, g∘fx=gfx=gx3=x…

Q: For the following relation, give the domain and range, and indicate whether it is a function. {(6,…

A: The given relation is:  6, 8, (1, 9), (7, 1), (4, 5)

Q: Let f (x) = + 6 . Evaluate f(-6). 2 (2 f(-6) = Number || 1/2

A: Given f(x)=-1212x+6   To Evaluate f(-6)=

Q: Which of the following relation is a function? a) S = {(-1,-2),(-3,4), (3,1), (-5,6)} %3D b) T =…

A:

Q: Draw an example of a relation that is a function and an example of a relation that is not a…

A: A function is defined as a relation between a set of inputs  having one outputs.

Q: Brenton's weekly pay, P(h), in dollars, is a function of the number of hours he works, h. He gets…

A:

Q: Let R be relation from A to B where "x is greater than or equal to y squared." Then define R as a…

A:

Q: The inverse relation of the relation r (in red) is the relation r -3 in black in blue in red in…

A: In the given figure, we have to the inverse relation for the red figure

Q: Let A = {3, 4, 5}, and B = {−5, -3, -2, -1}. Define a relation R from A to B as follows: For all (x,…

A:

Q: Let A- (Blanche, Rose, Sophia, Dorothy), B-(Red, Blue, Yellow) and consider the function f: A B…

A:

Q: The boxes that are checked correspond to functions that are: Increasing Decreasing

A: We need to provide boxes that are checked when a funtion is increaing and decrasing.

Q: (5) Given f(x) -2r and h(x)= simplify using the following operations: Write answers in standard…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: