Consider the squaring function: The output is the input times itself. For example, if the input is 3, the output is 9. Determine which of the following points are on the graph of the squaring function:
(6,36), (4,8), (-2,4), (-3,-6), (5,25), (6,12), (-6,36)
6,36.....5,25
which others?
(4,8), -2,4 -6,36??
Is this right?
To determine which of the given points are on the graph of the squaring function, we need to check if the output of the squaring function matches the given output for each input.
Let's go through each point and check:
1. (6, 36): To find out if this point is on the graph, we need to check if squaring 6 equals 36. If we calculate 6*6 = 36, we can see that this point is on the graph of the squaring function.
2. (4, 8): Similar to before, we need to check if squaring 4 equals 8. However, when we calculate 4*4, we get 16, not 8. Therefore, this point is not on the graph of the squaring function.
3. (-2, 4): Let's square -2 and see if it equals 4. When we calculate -2*-2, we get 4. So, this point is on the graph of the squaring function.
4. (-3, -6): Squaring -3 should yield -6 for this point to be on the graph. However, when we calculate -3*-3, we get 9, not -6. Therefore, this point is not on the graph of the squaring function.
5. (5, 25): For this point to be on the graph, squaring 5 should give us 25. Calculating 5*5, we find that it indeed equals 25. So, this point is on the graph of the squaring function.
6. (6, 12): We need to check if squaring 6 equals 12 for this point to be on the graph. However, 6*6 equals 36, not 12. Therefore, this point is not on the graph of the squaring function.
7. (-6, 36): Finally, we need to square -6 and see if it equals 36 for this point to be on the graph. When we calculate -6*-6, we get 36. So, this point is on the graph of the squaring function.
To summarize, the points (6, 36), (-2, 4), (5, 25), and (-6, 36) are on the graph of the squaring function.