PLEASE ANSWER ASAP. WILL GIVE BRAINLIEST

Let A = {1, 2, 3, 4, 5} and B = {a, b, c, d}. For each of the following relations fromn A to B, answer these questions: Is it a

Lorico [155]

Answer:

(a) This function is neither one-to-one nor onto.

(b) This function is neither one-to-one nor onto.

(c) This relation is not a function.

(d) The function is onto but not one-to-one.

Step-by-step explanation:

Given information: A = {1, 2, 3, 4, 5} and B = {a, b, c, d}

A relation is a function if and only if there exist a unique output for each input.

One-to-one : A function is one-to-one if every element of the function's codomain is the image of at most one element of its domain.

Onto : A function is onto if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x) = y.

(a)

{(1, c) ,(2, c) ,(3, c) ,(4, c) ,(5, d)}

This relation is a function because all x-value has unique y-value.

The above function it not one-to-one because for more than one input we have same output (c have four domains).

The above function it not onto because all element of B are not have preimage (a and b have no preimage).

This function is neither one-to-one nor onto.

Similarly,

(b)

{(1, a ) ,(2, d ) ,(3, a ) ,(4, c ) }

This relation is a function because all x-value has unique y-value.

Here, a have more than one preimage and b have no preimage.

The function is neither one-to-one nor onto.

(c)

{(1, d ) ,(2, d ) ,(3, a ) ,(4, b ) ,(4, d ) ,(4, c )} .

For x=4 we have for than one value of y.

Therefore this relation is not a function.

(d)

{(1, c ) ,(2, b ) ,(3, a ) ,(4, d ) ,(5, a ) }

This relation is a function because all x-value has unique y-value.

Here, a have two preimage. So, this function is not one-to-one.

All elements of B have preimage. So, this function is onto.

The function is onto but not one-to-one.

5 0

3 years ago

The graph shows the system y=2x+1 y=2x^2+1 Which ordered pairs are solutions of the system?

zhenek [66]

Hey!

To solve this problem, we would really have to graph both equations.

OPEN THE FIRST IMAGE

The first image I provided was the image of this equation graphed: y=2x+1

OPEN THE SECOND IMAGE

The second image I provided was the image of this equation graphed: y=2x^2+1

PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!

The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).

The second image has only one point, which is at ( 0, 1 ).

OPEN THE THIRD IMAGE

Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).

So, our answer is...

The ordered pairs that are the solution to the system are ( 0,1 ) and ( 1,3 ).

Hope this helped!

- Lindsey Frazier ♥

3 0

3 years ago

Multiply or divide as indicated (3x)^12/(3x)^4

tresset_1 [31]

Answer:

Answer will be 6561 x ∧ 8

Step-by-step explanation:

Given that:

(3x) ∧ 12 / (3x) ∧ 4

3∧(12-4) * x ∧ (12-4)

3∧8 * x ∧ 8

6561 x∧8

5 0

3 years ago

So far, Leo has put together 40% of his 500-piece puzzle. How many puzzle pieces has Leo put together?

vampirchik [111]

Answer:

2

Step-by-step explanation:

hfugguuyyfy

6 0

3 years ago

Complete the table and show work

Alinara [238K]

So the formula for this is for every inch of width, you multiply by 2 to get the length.

Here, I made a table for it.

2×2=4

4×2=8

7×2=14

8×2=16 or 16÷2=8

5 0

3 years ago

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