Question

Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?

Answer 1

Answer:

• No, he can get an output of 0 with the second machine (function B) but he cannot get an output of 0 with the first machine (function A).

Explanation

The way each machine works is given by the expression (function) inside it.

1)  Function A

To get an output of 0 with the function y = x² + 3, you must solve the equation x² + 3 = 0.

Since x² is zero or positive for any real number, x² + 3 will never be less than 3 (the minimum value of x² + 3 is 3). So, it is not possible to get an output of 0 with the first machine.

2) Function B

Solve $y=\sqrt{x}-2=0$

• $\sqrt{x}-2=0$

• $\sqrt{x} =2$

• $x=2^{2}$

• $x=4$

So, he can get an output of 0 by using x = 4.