Graph the function and identify the domain and range.
Y=-1.5x^2
The graph of the function looks like a downward facing parabola.
Domain: All real numbers
Range: All real numbers less than or equal to 0
Here is a graph of the function:
To graph the function y = -1.5x^2, you can start by plotting a few points and then connecting them to create the graph.
Let's choose some x-values and calculate the corresponding y-values:
For x = -2, y = -1.5(-2)^2 = -1.5 * 4 = -6
For x = -1, y = -1.5(-1)^2 = -1.5 * 1 = -1.5
For x = 0, y = -1.5(0)^2 = -1.5 * 0 = 0
For x = 1, y = -1.5(1)^2 = -1.5 * 1 = -1.5
For x = 2, y = -1.5(2)^2 = -1.5 * 4 = -6
Now we can plot these points on a graph:
(x, y) = (-2, -6)
(x, y) = (-1, -1.5)
(x, y) = (0, 0)
(x, y) = (1, -1.5)
(x, y) = (2, -6)
Next, connect these points with a smooth curve. Note that this is a downward-opening parabola.
The graph of y = -1.5x^2 would look like this:
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The domain of the function y = -1.5x^2 is all real numbers, since you can plug in any value of x.
The range of the function y = -1.5x^2 is y ≤ 0, since the function is always negative or zero.