Match the range of the function f(x) = x2 + 2x _ 1 to its domain.
Tiles
2
-2
3
-3
Pairs
2
arrowBoth
-14
arrowBoth
7
arrowBoth
-1
arrowBoth

Respuesta :

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f(2)=2^2+2.2-1=4+4-1=7



f (-2)=(-2)^2+2. (-2)-1 =4-4-1= -1



f (3)=3^2+2.3-1=9+6-1=14



f (-3)=(-3)^2+2. (-3)-1=9-6-1=2

Answer:

The pair of coordinates of domain and range are (2,7),(-2,1),(3,14) and (-3,2).

Step-by-step explanation:

Domain is the set of inputs of x values and range is the set of outputs or f(x) values.

The given function is

[tex]f(x)=x^2+2x-1[/tex]

Substitute x=2 in the given function,

[tex]f(2)=(2)^2+2(2)-1=7[/tex]

The value of the function is 7 at x=2.

Substitute x=-2 in the given function,

[tex]f(-2)=(-2)^2+2(-2)-1=-1[/tex]

The value of the function is -1 at x=-2.

Substitute x=3 in the given function,

[tex]f(3)=(3)^2+2(3)-1=14[/tex]

The value of the function is 14 at x=3.

Substitute x=-3 in the given function,

[tex]f(-3)=(-3)^2+2(-3)-1=2[/tex]

The value of the function is 2 at x=-3.

Therefore the pair of coordinates of domain and range are (2,7),(-2,1),(3,14) and (-3,2).

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