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For which of the following functions is f(−5) > f(5)?
- a)f(x) = 6x2
- b)f(x) = 6
- c)f(x) = 6/x
- d)f(x) = 6 − x3
- e)f(x) = x6 + 6
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
For which of the following functions is f(−5) > f(5)?a)f(x) =...
The correct answer is D. To solve this problem, first eliminate answer choices that yield equal values for f (-5) and f (5). These include answer choices in which the functions have even powers of x such as answer choice A, where f (x) = 6x2, answer choice B, where f (x) = 6, and answer choice E, where f (x) = x6 + 6. Now, substitute -5 and 5 into the remaining answer choices:
Answer choice C: f(x) = 6/x. When x is -5, f (x) = -6/5, and when x is 5, f (x) = 6/5. Therefore, f (5) is greater than f (-5) and answer choice C is incorrect.
Answer choice D: f (x) = 6 - x3. When x = -5, f(x) = 6 - (-125) or 131, and when x is 5, f (x) = 6 - 125, or -116. Therefore, f (-5) is greater than f(5).
Answer choice C: f(x) = 6/x. When x is -5, f (x) = -6/5, and when x is 5, f (x) = 6/5. Therefore, f (5) is greater than f (-5) and answer choice C is incorrect.
Answer choice D: f (x) = 6 - x3. When x = -5, f(x) = 6 - (-125) or 131, and when x is 5, f (x) = 6 - 125, or -116. Therefore, f (-5) is greater than f(5).
Most Upvoted Answer
For which of the following functions is f(−5) > f(5)?a)f(x) =...
The correct answer is D. To solve this problem, first eliminate answer choices that yield equal values for f (-5) and f (5). These include answer choices in which the functions have even powers of x such as answer choice A, where f (x) = 6x2, answer choice B, where f (x) = 6, and answer choice E, where f (x) = x6 + 6. Now, substitute -5 and 5 into the remaining answer choices:
Answer choice C: f(x) = 6/x. When x is -5, f (x) = -6/5, and when x is 5, f (x) = 6/5. Therefore, f (5) is greater than f (-5) and answer choice C is incorrect.
Answer choice D: f (x) = 6 - x3. When x = -5, f(x) = 6 - (-125) or 131, and when x is 5, f (x) = 6 - 125, or -116. Therefore, f (-5) is greater than f(5).
Answer choice C: f(x) = 6/x. When x is -5, f (x) = -6/5, and when x is 5, f (x) = 6/5. Therefore, f (5) is greater than f (-5) and answer choice C is incorrect.
Answer choice D: f (x) = 6 - x3. When x = -5, f(x) = 6 - (-125) or 131, and when x is 5, f (x) = 6 - 125, or -116. Therefore, f (-5) is greater than f(5).
Community Answer
For which of the following functions is f(−5) > f(5)?a)f(x) =...
Comparison of Function Values at -5 and 5:
- When comparing the function values at -5 and 5 for each given function, we need to substitute x = -5 and x = 5 into the functions and compare the results.
Functions:
a) f(x) = 6x^2
- f(-5) = 6*(-5)^2 = 150
- f(5) = 6*5^2 = 150
b) f(x) = 6
- f(-5) = 6
- f(5) = 6
c) f(x) = 6/x
- f(-5) = 6/(-5) = -1.2
- f(5) = 6/5 = 1.2
d) f(x) = 6 - x^3
- f(-5) = 6 - (-5)^3 = 31
- f(5) = 6 - 5^3 = -19
e) f(x) = x^6 + 6
- f(-5) = (-5)^6 + 6 = 15631
- f(5) = 5^6 + 6 = 15631
Conclusion:
The only function for which f(-5) > f(5) is d) f(x) = 6 - x^3. This is because f(-5) = 31 is greater than f(5) = -19.
- When comparing the function values at -5 and 5 for each given function, we need to substitute x = -5 and x = 5 into the functions and compare the results.
Functions:
a) f(x) = 6x^2
- f(-5) = 6*(-5)^2 = 150
- f(5) = 6*5^2 = 150
b) f(x) = 6
- f(-5) = 6
- f(5) = 6
c) f(x) = 6/x
- f(-5) = 6/(-5) = -1.2
- f(5) = 6/5 = 1.2
d) f(x) = 6 - x^3
- f(-5) = 6 - (-5)^3 = 31
- f(5) = 6 - 5^3 = -19
e) f(x) = x^6 + 6
- f(-5) = (-5)^6 + 6 = 15631
- f(5) = 5^6 + 6 = 15631
Conclusion:
The only function for which f(-5) > f(5) is d) f(x) = 6 - x^3. This is because f(-5) = 31 is greater than f(5) = -19.
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For which of the following functions is f(−5) > f(5)?a)f(x) = 6x2b)f(x) = 6c)f(x) = 6/xd)f(x) = 6 − x3e)f(x) = x6 + 6Correct answer is option 'D'. Can you explain this answer?
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