Functions and Not Functions Mappings

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

{(7, -3), (7, -2), (14, -1), (14, 0)}

{(-3, 7), (-2, 7), (-1, 14), (0, 14)}

$$f(x) = x^2$$ where $$x$$ is a real number

$$f(x) = \pm x$$ where $$x$$ is a real number

$$f(x) = \frac{1}{x}$$ where $$x$$ is a non-zero real number

$$f(x) = \sqrt{x}$$ where $$x$$ is a non-negative real number

$$f(1) = 4, f(2) = 5, f(3) = 4$$

$$f(1) = 4, f(2) = 4, f(3) = 5$$

$$f(1) = 5, f(2) = 5, f(3) = 5$$

$$f(1) = 4, f(2) = 5, f(3) = 5$$

Yes

No

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values paired with it.

No, because each x-value has only one y-value paired with it.

Function

Not a Function

no

yes

no way to tell