Graph the function and identify the domain

Question

and range 𝑦 = − 2𝑥squared

Answer 1

To graph the function 𝑦 = −2𝑥², we can start by creating a table of values:

|𝑥|𝑦|
|-|-|
|-2|−8|
|-1|−2|
|0|0|
|1|−2|
|2|−8|

Plotting these points on a graph, we see that the graph of 𝑦 = −2𝑥² is a downward-opening parabola:

{{{ graph( 300, 200, -3, 3, -10, 10, -2x^2) }}}

The domain of the function is the set of all real numbers, since there are no restrictions on the input values of 𝑥.

The range of the function is {𝑦 | 𝑦 ≤ 0}, because the graph of the function is entirely below the x-axis.