Question

8. Find the range of f(x)=x2-x-3.​

Answer 1

Calculus Examples

Popular Problems Calculus Find the Domain and Range f(x)=(x-2)/(x+3)

f

(

x

)

=

x

−

2

x

+

3

Set the denominator in

x

−

2

x

+

3

equal to

0

to find where the expression is undefined.

x

+

3

=

0

Subtract

3

from both sides of the equation.

x

=

−

3

The domain is all values of

x

that make the expression defined.

Interval Notation:

(

−

∞

,

−

3

)

∪

(

−

3

,

∞

)

Set-Builder Notation:

{

x

|

x

≠

−

3

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

(

−

∞

,

1

)

∪

(

1

,

∞

)

Set-Builder Notation:

{

y

|

y

≠

1

}

Determine the domain and range.

Domain:

(

−

∞

,

−

3

)

∪

(

−

3

,

∞

)

,

{

x

|

x

≠

−

3

}

Range:

(

−

∞

,

1

)

∪

(

1

,

∞

)

,

{

y

|

y

≠

1

}

Mark me as brainlist