Complete the table for each function.
1. f(x) = √x The x values are 0, 1,4 and 9. The corresponding y values that I got are 0, 1, 2 and 3.
2. g(x) = -1/4√ x The x values are 0, 1, 4, and 9. The corresponding y values that I got are 0, -1/4, -1/2 and -3/4
3. h(x) = √x - 2 The x values are 0, 1, 4, and 9. I couldn't seem to find y values for this.
Can you please check my work on numbers 1 and 2, and help me answer number 3? Thank you.
1, 2. Okay
3. √0 - 2 = -2…
√9 - 2 = 3 - 2 = 1
I'll let you do the other two.
Okay. Thank you. :)
Right!
Sure! Let's go through each function:
1. f(x) = √x
To find the y-values for this function, you correctly plugged in the x-values of 0, 1, 4, and 9 into the function. The corresponding y-values you obtained of 0, 1, 2, and 3 are correct. So, your table for f(x) = √x is correct.
2. g(x) = -1/4√x
Again, you correctly plugged in the x-values of 0, 1, 4, and 9 into the function. However, the corresponding y-values you obtained of 0, -1/4, -1/2, and -3/4 are incorrect. Let's calculate the correct values:
For x = 0:
g(0) = -1/4√0 = -1/4 * 0 = 0
For x = 1:
g(1) = -1/4√1 = -1/4 * 1 = -1/4
For x = 4:
g(4) = -1/4√4 = -1/4 * 2 = -1/2
For x = 9:
g(9) = -1/4√9 = -1/4 * 3 = -3/4
So, the correct values for g(x) = -1/4√x are: 0, -1/4, -1/2, and -3/4.
3. h(x) = √x - 2
To find the y-values for this function, we need to plug in the x-values of 0, 1, 4, and 9 into the function. Let's calculate them:
For x = 0:
h(0) = √0 - 2 = 0 - 2 = -2
For x = 1:
h(1) = √1 - 2 = 1 - 2 = -1
For x = 4:
h(4) = √4 - 2 = 2 - 2 = 0
For x = 9:
h(9) = √9 - 2 = 3 - 2 = 1
So, the y-values for h(x) = √x - 2 are: -2, -1, 0, and 1.
I hope this clears up any confusion and helps you complete the table for all three functions! Let me know if you have any further questions.
Y values: -2, -1, 0, 1. Right?
I'm not sure why I had so much trouble with this. I think I was making a minor mistake in my calculations that set everything off. Thanks for your help.