Question

What is the range of the reciprocal function of $f(x) = 10 - x^2$? $\{y \in \mathbb{R} | y \ge \frac{1}{10}\}$ $\{y \in \mathbb{R} | y \ge 10\}$ $\{y \in \mathbb{R} | \frac{1}{10} \le y < 0\}$ $\{y \in \mathbb{R} | y < 0 \text{ or } y \ge \frac{1}{10}\}$

Name: what is the range of the reciprocal function of fx 10 x2 y in mathbbr y ge frac110 y in mathbbr y ge 10 y in mathbbr frac110 le y 0 y in mathbbr y 0 text or y ge frac110 91456
Uploaded: 2022-04-22T12:54:10-08:00
Duration: 57 s
Channel: Ben Blakesley
Description: what is the range of the reciprocal function of fx 10 x2 y in mathbbr y ge frac110 y in mathbbr y ge 10 y in mathbbr frac110 le y 0 y in mathbbr y 0 text or y ge frac110 91456

          What is the range of the reciprocal function of $f(x) = 10 - x^2$?
$\{y \in \mathbb{R} | y \ge \frac{1}{10}\}$
$\{y \in \mathbb{R} | y \ge 10\}$
$\{y \in \mathbb{R} | \frac{1}{10} \le y < 0\}$
$\{y \in \mathbb{R} | y < 0 \text{ or } y \ge \frac{1}{10}\}$

$what is the range of the reciprocal function of fx 10 x2 y in mathbbr y ge frac110 y in mathbbr y ge 10 y in mathbbr frac110 le y 0 y in mathbbr y 0 text or y ge frac110 91456$

Added by Cassandra J.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ben Blakesley

04/22/2022

Step 1

Since $x^2 \ge 0$, the maximum value of $f(x)$ is 10 when $x = 0$, and $f(x)$ can take any value less than or equal to 10. Therefore, the range of $f(x)$ is $(-\infty, 10]$. Show more…

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What is the range of the reciprocal function of $f(x) = 10 - x^2$? $\{y \in \mathbb{R} | y \ge \frac{1}{10}\}$ $\{y \in \mathbb{R} | y \ge 10\}$ $\{y \in \mathbb{R} | \frac{1}{10} \le y < 0\}$ $\{y \in \mathbb{R} | y < 0 \text{ or } y \ge \frac{1}{10}\}$