Math, asked by Gopalshukla98, 9 days ago

range and domain of root 3+x^2​

Answers

Answered by meenahemlata528
0

Step-by-step explanation:

Given:

y

=

x

3

x

2

The argument of the square root must be greater than or equal to 0:

x

3

x

2

0

Becuase this quadratic is the equation of a parabola that opens downward we know that, if we find the roots of the quadratic, the quadratic will be greater than 0 between the roots.

x

3

x

2

=

0

x

(

1

3

x

)

=

0

x

=

0

and

x

=

1

3

This gives us the domain

0

x

1

3

We know that the minimum for the range occurs at either root:

0

y

We know that the maximum for the range will occur halfway between the roots,

x

=

1

6

y

=

1

6

3

(

1

6

)

2

y

=

6

36

3

36

y

=

3

6

This makes the range become

0

y

3

6

Similar questions