Buzz has 4 friends and Brock has 6.
The reason being is that Buzz has to have two less friend than Brock has, and yet still both have to add up to ten.
It would be the first graph because it lands on -1 and +4
Given the function f(x);
![f(x)=-4x^2+4x-1](https://tex.z-dn.net/?f=f%28x%29%3D-4x%5E2%2B4x-1)
Evaluating the function f(x+h);
![\begin{gathered} f(x+h)=-4(x+h)^2+4(x+h)-1 \\ f(x+h)=-4(x^2+2xh+h^2)^{}+4(x+h)-1 \\ f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%2Bh%29%3D-4%28x%2Bh%29%5E2%2B4%28x%2Bh%29-1%20%5C%5C%20f%28x%2Bh%29%3D-4%28x%5E2%2B2xh%2Bh%5E2%29%5E%7B%7D%2B4%28x%2Bh%29-1%20%5C%5C%20f%28x%2Bh%29%3D-4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x%2B4h-1%20%5Cend%7Bgathered%7D)
So;
![f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1](https://tex.z-dn.net/?f=f%28x%2Bh%29%3D-4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x%2B4h-1)
Evaluating the second function;
![\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1-(-4x^2+4x-1)}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1+4x^2-4x+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2+4x^2-4h^2-8xh^{}+4x-4x+4h-1+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x%2B4h-1-%28-4x%5E2%2B4x-1%29%7D%7Bh%7D%20%5C%5C%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x%2B4h-1%2B4x%5E2-4x%2B1%7D%7Bh%7D%20%5C%5C%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4x%5E2%2B4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x-4x%2B4h-1%2B1%7D%7Bh%7D%20%5C%5C%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4h%5E2-8xh%5E%7B%7D%2B4h%7D%7Bh%7D%20%5Cend%7Bgathered%7D)
simplifying further;
![\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h}=-4h-8x+4 \\ \frac{f(x+h)-f(x)}{h}=-4h-8x+4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4h%5E2-8xh%5E%7B%7D%2B4h%7D%7Bh%7D%3D-4h-8x%2B4%20%5C%5C%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D-4h-8x%2B4%20%5Cend%7Bgathered%7D)
Therefore, we have;
Answer:
-3.8, 3
Step-by-step explanation:
The solution to a system is where the graph cross each other. If you look to where they intersect to the left of the origin, where x is negative, it appears that they intersect ALMOST at -4, but not quite. So -3.8 is going to have to do since we don't have the equations of either graph to find the exact values of x. To the right of the origin, where x is positive, the graphs cross where x = 3..