Answer :
Final answer:
The correct equation that has both -7 and 7 as possible values of f is A. f² = 49, since squaring either -7 or 7 will result in 49.
Explanation:
The question asks which equation has both -7 and 7 as possible values of f. Let's evaluate each option:
- f² = 49 - Squaring a number results in a positive value, so both -7 and +7 when squared will give us 49. Therefore, f could be -7 or 7.
- f³ = 343 - Cubing a number retains the sign of the original number, so only +7 when cubed equals 343. -7 cubed would give us -343, so f cannot be -7 in this case.
- None of the above - This option is incorrect because the first equation f² = 49 does have both -7 and 7 as possible values for f.
- Therefore, the correct answer is A. f² = 49.
