30 POINTS I NEED YOU GENIUSES AT LEAST COME AND LOOK EASY IM JUST DUMB!! The graph represents the equation 2 + 2 = 8. Use this graph to answer questions 6, 7, and 8. PART A) Look at the graph of the equation 2 + 2 = 8. Give its domain and range. PART B) Use algebraic means to show that 2 + 2 = 8 is not a function. Explain your process.

See below.

Step-by-step explanation:

So we have the graph of:

As given, the graph is a circle with a radius of 2√2 and a center of (0,0)

Part 1)

The domain of a function is the span of x-values it covers and the range of a function is the span of y-values it covers.

From the graph, we can see that the x-values the graph covers goes from -2√2  to +2√2. The graph includes these values.

Thus, the domain is, in interval notation:

From the graph, we can see that the y-values the graph covers also goes from -2√2 to 2√2.

Therefore, like the domain, the range in interval notation is:

Part 2:

First of all, we can use the vertical line test to prove that the graph is indeed not a function.

Algebraically, we have to do some more.

First, recall what it means when an equation is not a function. It means that one x maps onto two or more ys.

In other words, to prove that the equation is not a function, we can substitute an x for a value and solve for y.

For instance, let's use 0 for x (and 0 is within the domain). Thus:

Simplify:

Take the square root of both sides:

In other words, when x is 0, y can be either -2√2 or 2√2. So we have two different y-values with the same x-coordinate.

Therefore, the equation is not a function.

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step-by-step explanation: