Need help with this:
Graph f(x) = -√ x
Sure, I'd be happy to help you with that!
To graph the function f(x) = -√x, we can follow a few steps:
1. Choose some values for x: Start by selecting a few values for x. It's usually helpful to choose both positive and negative values to get a sense of how the graph behaves. For simplicity, let's choose x = -4, -1, 0, 1, and 4.
2. Find the corresponding y-values: Substitute each chosen x-value into the function f(x) = -√x to calculate the corresponding y-values. For example:
- For x = -4, f(-4) = -√(-4) = -√4 = -2.
- For x = -1, f(-1) = -√(-1) = -√1 = -1.
- For x = 0, f(0) = -√0 = 0.
- For x = 1, f(1) = -√1 = -1.
- For x = 4, f(4) = -√4 = -2.
3. Plot the points: Now, plot the points (x, y) on a coordinate plane. In this case, the points will be (-4, -2), (-1, -1), (0, 0), (1, -1), and (4, -2).
4. Draw the graph: Connect the plotted points with a smooth curve. Since the function is √x but reflected and shifted downward due to the negative sign, the graph starts at (0, 0) and decreases as x moves to the right.
The resulting graph will resemble an inverted, downward-opening curve passing through the plotted points.
I hope this explanation helps you graph the function f(x) = -√x successfully! Let me know if you have any further questions.