How can you rewrite the function f(x) = -|x| + 3 as a piecewise-defined function?

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

The absolute value expression has a V shape. The range of a positive absolute value expression starts at its vertex and extends to infinity.

Interval Notation:

[

0

,

∞

)

Set-Builder Notation:

{

y

|

y

≥

0

}

Determine the domain and range.

Domain:

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

Range:

[

0

,

∞

)

,

{

y

|

c

step-by-step explanation: