Answer:
3) [tex]all \: real \: numbers[/tex], [tex]( - \infty , \infty )[/tex], or [tex]- \infty \leqslant x \leqslant \infty[/tex] (same thing)
4) [tex] - \infty < y < 0[/tex] or [tex]( - \infty ,0)[/tex] (same thing)
5) [tex]-2[/tex] or [tex](0, -2)[/tex] (same thing)
Step-by-step explanation:
3) Domain represents the amount of [tex]x[/tex]-values in a function. The image shows that the function's arrows point in both directions (right and left), infinitely, so the domain would be [tex]all \: real \: numbers[/tex], [tex]( - \infty , \infty )[/tex], or [tex]- \infty \leqslant x \leqslant \infty [/tex](same thing).
4) Range represents the amount of [tex]y[/tex]-values in a function. The function goes downward forever ([tex] - \infty < y[/tex]) by the indication of an arrow and halts just under the y-axis ([tex]y < 0[/tex]). After combining these two inequalities, you see that the range is [tex] - \infty < y < 0[/tex] or [tex]( - \infty ,0)[/tex] (same thing).
5) The [tex]y[/tex]-intercept is where the function crosses the [tex]y[/tex]-axis. In this function, the [tex]y[/tex]-intercept is [tex]-2[/tex] or [tex](0, -2)[/tex] (same thing).
