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Select all the possible input-output pairs for the function

y = x3 .

A. (-1,-1)

B. (-2,8)

C. (3,9)

D. (5)

E. (4,64)

F. (1,-1)


Sagot :

Answer:

A.(-1,-1)

E.(4,64)

Step-by-step explanation:

We are given that

Function

[tex]y=x^3[/tex]

We have to find all possible input-output pairs for the function.

Substitute x=-1

[tex]y=(-1)^3=-1[/tex]

Then, the pair is (-1,-1)

Now, substitute x=-2

[tex]y=(-2)^3=-8[/tex]

Then, pair is (-2,-8)

Now, substitute x=3

[tex]y=3^3=27[/tex]

Now, substitute x=4

[tex]y=4^3=64[/tex]

Now, substitute x=1

Then, y=1

Hence, Option A and E are true.

A.(-1,-1)

E.(4,64)

The possible input-output pairs for the function are [tex](-1,-1)[/tex] and [tex](4,64)[/tex]

Input-output relationship:

The given function is,

                     [tex]y=x^{3}[/tex]

When x = -1 then [tex]y=(-1)^{3} =-1[/tex]

When x = 4 then [tex]y=4^{3}=64[/tex]

When x = -2 then  [tex]y=(-2)^{3}=-8[/tex]

Hence,   the possible input-output pairs for the function are [tex](-1,-1)[/tex] and [tex](4,64)[/tex]

Learn more about the input and output relation of function here:

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