In Exercises 45–48, give the domain and the range of each quadrat...

Question

In Exercises 45–48, give the domain and the range of each quadratic function whose graph is described. Maximum = -6 at x = 10

Accepted Answer

using the following description of the graph book function determine the domain and range. Maximum physical ticket at X equals seven. So let's go ahead and take a look at this. It's a quadratic wish things were in the form F X equals X script. No, I want to find out what our vertex is. The problem actually gives us the vertex Notice here at x equals seven. We have a maximum of eight. So vertex is at 7:08. Now the next thing we notice is that it says maximum. The maximum implies that this is a parabola pointing downwards. So probably point downwards would have a maximum point at the top of the problem. Don't help us in finding our range. Let's look at our domain. 1st. Our domain. Now we know this is a problem on quadratic function. The domain of a quadratic function is always all real numbers or native infinity to infinity. Now we know that this problem is pointing downwards and has a maximum point to find our range. You're gonna find our lowest possible Y value and our highest possible Y value. So we have range. Now this is pointing downwards so our lowest possible Y value will be negative infinity because it keeps pointing down and keeps going down our highest fossil y value is actually our maximum point of the problem. The maximum value we know it's eight given to us in the problem. So I arranged some negative infinity to eight. Since we can wish to number eight We're gonna put a square bracket around the eight. This makes the answer to our problem. Answer B. With domain all real numbers arranged into eight. Okay. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 45–48, give the domain and the range of each quadratic function whose graph is described. Maximum = -6 at x = 10