Dylan and Beatrice are working with the same function. Dylan input −8 into the function and got an output of 8. Part A:

Based on this information, which statement is correct?

If Beatrice inputs −8 into the function, she must get an output of −8.

If Beatrice inputs −8 into the function, she must get an output of 8.

If Beatrice inputs 8 into the function, she must get an output of −8.

If Beatrice inputs 8 into the function, she must get an output of 8.

Part B

Which of the following points could the graph of the function possibly include? Select ALL that apply.

(−8,4)

(−4,8)

(4,−8)

(8,−4)

Part A: If Beatrice inputs −8 into the function, she must get an output of 8.

Part B: (−4,8) , (4,−8) , (8,−4)

Step-by-step explanation:

Part A:

We know that a function is a relation that maps elements from one set (The domain, the set of the inputs) into elements from another set (the range, the set of the outputs)

Such that each input can be mapped into only one output.

Then if we know that our function maps the input -8 into the output 8.

Always that we use this function with the input -8. we will have the same output, 8.

Then we can conclude that the correct option to the first part is:

"If Beatrice inputs −8 into the function, she must get an output of 8. "

Part B:

Remember, -8 is mapped into 8, then the point (−8,4) (this says "-8 is mapped into 4) can never be on the graph of the function.

But the points:

(−4,8) , (4,−8) , (8,−4)

Could be on the graph of the function.

stops on an even number.