Question

find Domin and range of the graph f(x)=2x²-1​

Answer 1

Answer:

Step-by-step explanation:

Domain:  

(

−

∞

,

+

∞

)

Range:  

[

−

1

,

+

∞

)

Explanation:

Your function is defined for any value of  

x

, so you have no restrictions wehn it comes to its domain, which will be  

x

∈

R

, or  

(

−

∞

,

+

∞

)

.

In order to determine the function's range, focus on the fact that you're dealing with the square of a value  

x

. As you know, for real numbers, the square of any number will be positive.

This means that the minimum value this function can take will occur at  

x

=

0

f

(

0

)

=

2

⋅

0

2

−

1

=

−

1

For any value of  

x

≠

0

,  

f

(

x

)

>

f

(

0

)

. This means that the function's range will be  

[

−

1

,

+

∞

)

.

graph{2x^2-1 [-10, 10, -5, 5]}