<u>Part a</u>
The domain is the set of x-values, which is ![(-\infty, \infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20%5Cinfty%29)
<u>Part b</u>
The range is the set of y-values, which is ![(-\infty, -2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-2%5D)
<u>Part c</u>
The x-intercepts is when y=0, which there are none of.
<u>Part d</u>
The y-intercept is when x=0, which is at (0, -2).
Answer:
x = -5
Step-by-step explanation:
![4x+y=2(x+3y)\\\\4x-2=2(x+3(-2))\\\\4x-2=2(x-6)\\\\4x-2=2x-12\\\\4x-2+2=2x-12+2\\\\4x=2x-10\\\\4x-2x=2x-2x-10\\\\2x=-10\\\\\frac{2x=-10}{2}\\\\\boxed{x=-5}](https://tex.z-dn.net/?f=4x%2By%3D2%28x%2B3y%29%5C%5C%5C%5C4x-2%3D2%28x%2B3%28-2%29%29%5C%5C%5C%5C4x-2%3D2%28x-6%29%5C%5C%5C%5C4x-2%3D2x-12%5C%5C%5C%5C4x-2%2B2%3D2x-12%2B2%5C%5C%5C%5C4x%3D2x-10%5C%5C%5C%5C4x-2x%3D2x-2x-10%5C%5C%5C%5C2x%3D-10%5C%5C%5C%5C%5Cfrac%7B2x%3D-10%7D%7B2%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D-5%7D)
Hope this helps.
Answer:
D. 4 real roots and 0 complex roots
Step-by-step explanation:
If I assume that the function you are saying is
![F(x)=x^4+x^3-5x^2+x-6](https://tex.z-dn.net/?f=F%28x%29%3Dx%5E4%2Bx%5E3-5x%5E2%2Bx-6)
There should be up to "4 roots," there can't be more or less than 4 total solutions. First, we need to check how many sign changes are there in this function. There are 3 positive real roots. Now lets check for negative roots.
There are is only 1 negative real root. Since we basically have 4 real roots, and the max is 4. There should be 4 real roots and 0 complex roots.
8 - 4(-x + 5)
As you already know, in order to find the equivalent expression to our already given one, we have to simplify it first :)
8 +4x - 20
**Remember that a negative times a negative is always a positive!!**
Add like terms.
4x + (8 - 20)
Simplify.
4x + (-12)
Get rid of parenthesis.
4x - 12
Look at our answer choices.
Our answer is a. 4x - 12
~Hope I helped!~