Part A: Yes this is a function because there are no repeated x values. Each x value points to exactly one y output. You can graph each point and the graph will not fail the vertical line test.
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Part B: Plug x = 6 into the f(x) function given to get
f(x) = 7x-15
f(6) = 7*6-15
f(6) = 42-15
f(6) = 27
Now compare this with the table. According to the table, when x = 6, the value of y is 14. So the f(x) value is larger than the table value when x = 6
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Part C:
Replace f(x) with 6 and solve for x
f(x) = 7x-15
6 = 7x-15
6+15 = 7x-15+15
21 = 7x
7x = 21
7x/7 = 21/7
x = 3
So the final answer, for part C, is x = 3
Answer:
(8,14)
Step-by-step explanation:
You would multiply 36 and 6 to get x
we have
![\sqrt[4]{768x^{8}y^{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B768x%5E%7B8%7Dy%5E%7B5%7D%7D)
we know that
![\sqrt[4]{768x^{8}y^{5}}=({768x^{8}y^{5})^{\frac{1}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B768x%5E%7B8%7Dy%5E%7B5%7D%7D%3D%28%7B768x%5E%7B8%7Dy%5E%7B5%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
![({2^{8}3x^{8}y^{5})^{\frac{1}{4}}=2^{2} x^{2}y (3y)^{\frac{1}{4}}=4x^{2}y\sqrt[4]{3y}](https://tex.z-dn.net/?f=%28%7B2%5E%7B8%7D3x%5E%7B8%7Dy%5E%7B5%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D2%5E%7B2%7D%20x%5E%7B2%7Dy%20%283y%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D4x%5E%7B2%7Dy%5Csqrt%5B4%5D%7B3y%7D)
therefore
<u>the answer is the option C</u>
![4x^{2}y\sqrt[4]{3y}](https://tex.z-dn.net/?f=4x%5E%7B2%7Dy%5Csqrt%5B4%5D%7B3y%7D)
The x intercept is not 10!
f(x)=0.75x-7
x= 7/0.75 ≠ 10
so last one is false!
(for finding x intercept make the y/f(x) value 0)
