Question

PLEASE HELP!!!!! WILL MARK BRAINLIEST!!!!

Answer 1

Answer:

Yes (reasoning below)

Step-by-step explanation:

A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

Answer 2

Answer:

No (please see below for reasoning).

Step-by-step explanation:

Hello there!

We are given the graph of a vertical parabola and we want to figure out if it's a function or not.

A function has ONE output for every input. In other words, if you put one thing into a function, you're only going to get ONE thing back out.

One analogy to think about this is a vending machine; if you press one code (the input), you're only going to get one snack (let's say, chips), and if you a specific code, the only possible snack for that code would be the chips (the output). In simpler terms, if you press 3D on a vending machine, you're only getting the chips. You're not getting the cookies and the chips. 3D can't correspond to both chips and cookies.

One way to figure out if an equation is a function if you're given the graph is to do the vertical line test, where you will draw a vertical line through the graph. If the line hits two or more points in the graph, that means the input has more than one output, which wouldn't be a function.

So draw a vertical line through the graph.

Please see the picture below for the visual representation. Notice how the blue line hits two points on the graph. This means it isn't a function, since it means that the input (the value of x) has more than one output (the y values on the graph).  Remeber that, for a function, we only can have one output for every input.

Hope this helps!