Cumulative Standards Review
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Make a table of values and connect the points with a parabola.
Graph:
Domain: All real numbers
Range: y≤ 0
| x | 2x^2 | y=2x^2 |
|---|---|---|
| 0 | 2( 0)^2 | 0 |
| 1 | 2( 1)^2 | 2 |
| 2 | 2( 2)^2 | 8 |
Note that since the given function has the form y=ax^2, the axis of symmetry is the vertical line x= 0. Now, let's plot the obtained points and their reflections across the axis of symmetry. Then we can connect them with a parabola.
We can see above that the x-variable can take any value. Conversely, the y-variable only takes values greater than or equal to 0. Using this information, we can write the domain and range of the function. Domain:& All real numbers Range:& y≥ 0