To find the correct graph representing the solution for the equation x^4, you need to follow a series of steps.
1. **Understand the Equation**: The equation x^4 represents a polynomial function of degree 4. This means its general shape will be a smooth curve, typically resembling a ‘U’ shape.
2. **Identify Key Features**: The function will have the following characteristics:
- It is always positive (greater than or equal to zero) for all real numbers.
- The graph will have a minimum point at (0,0), which is where the value of x^4 is zero.
- The graph will open upwards on both ends as x approaches positive or negative infinity.
3. **Visualize the Graph**: You may want to click through a series of graph options provided to you. Look for these visual cues:
- Does the graph touch the x-axis at the point (0,0)?
- Does the curve rise on both sides away from the origin?
- Is there any part of the graph that dips below the x-axis? (If yes, it’s not the correct graph).
4. **Iterate**: Click through each option until you find a graph that meets these criteria. It may take some time to identify the correct representation of the x^4 function.
By following these steps, you should be able to confidently select the graph that correctly illustrates the solution to x^4.