Question

Select the domain and the range of the function as an inequality, using set notation, and using interval notation. Also select the end behavior of the function or complete the explanation why there is no end behavior.

Answer 1

• domain: -∞ < x < ∞; x ; (-∞, ∞)
• range: 0 < y < ∞; y ; (0, ∞)
• f(-∞) → 0; f(∞) → ∞

Explanation:

The domain is all real numbers; the range is all positive real numbers.

The set notation can be written a number of ways. One is shown above. A different one is shown below.

`\underline{\text{Domain}}\\-\infty<x<\infty;\ \{x\in\mathbb{R}\,:\,-\infty<x<\infty\};\ (-\infty,\infty)\\\\\underline{\text{Range}}\\0<y<\infty;\ \{y\in\mathbb{R}\,:\,0<y<\infty\};\ (0,\infty)\\\\\underline{\text{Limits}}\\f(-\infty)\to 0;\ f(\infty)\to\infty`