Determine the Domain and the Range of the Function $$f ( x ) = x ^ { 2 } + 12 x$$

question 173

Multiple Choice

Determine the domain and the range of the function.
- $$f ( x ) = x ^ { 2 } + 12 x$$

• A) domain: all real numbers
• range: \(\{ \mathrm { y } \mid \mathrm { y } \geq - 36 \}\)
• B) domain: \(\{ x \mid x \geq 6 \}\)
• range: \(\{ y \mid y \geq 36 \}\)
• C) domain: \(\{ x \mid x \geq - 6 \}\)
• range: \(\{ y \mid y \geq - 36 \}\)
• D) domain: all real numbers

---

Definitions:

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis; it depends on the chosen significance level.

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, usually set before the experiment.

Seat Belts

Devices aimed at protecting vehicle passengers from injurious motions that might occur in the event of an accident or abrupt halt.

Chi-Squared Test

A statistical test used to determine if there's a significant difference between the observed frequencies and the expected frequencies in one or more categories.