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The function f (x) = -3x + 12 on R.is
- a)increasing
- b)strictly decreasing
- c)decreasing
- d)neither increasing or decreasing
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The function f (x) = -3x + 12 on R.isa)increasingb)strictly dec...
f(x) = -3x + 12
f(0) = -3(0) + 12 = 0 - 12 = 0
f(1) = 9
f(2)= 6
f(3) = 3
f(4) = 0
f(5) = -3
f(0) = -3(0) + 12 = 0 - 12 = 0
f(1) = 9
f(2)= 6
f(3) = 3
f(4) = 0
f(5) = -3
Most Upvoted Answer
The function f (x) = -3x + 12 on R.isa)increasingb)strictly dec...
Explanation:
To determine whether the given function f(x) = -3x + 12 is increasing, decreasing, or neither, we need to find the first derivative of the function and analyze its sign.
Finding the first derivative:
f(x) = -3x + 12
f'(x) = -3
Analysis of sign:
From the first derivative, we can see that it is a constant function -3, which is negative. Therefore, the sign of f'(x) is negative for all values of x in the domain R.
Conclusion:
Since the first derivative is negative for all values of x, the function f(x) is strictly decreasing on R. Therefore, the correct answer is option B, strictly decreasing.
To determine whether the given function f(x) = -3x + 12 is increasing, decreasing, or neither, we need to find the first derivative of the function and analyze its sign.
Finding the first derivative:
f(x) = -3x + 12
f'(x) = -3
Analysis of sign:
From the first derivative, we can see that it is a constant function -3, which is negative. Therefore, the sign of f'(x) is negative for all values of x in the domain R.
Conclusion:
Since the first derivative is negative for all values of x, the function f(x) is strictly decreasing on R. Therefore, the correct answer is option B, strictly decreasing.
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Community Answer
The function f (x) = -3x + 12 on R.isa)increasingb)strictly dec...
Here. When the value of x will increase from 0 to 4 you will se the total change occurs same. Only 3. That shows its straight.
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The function f (x) = -3x + 12 on R.isa)increasingb)strictly decreasingc)decreasingd)neither increasing or decreasingCorrect answer is option 'B'. Can you explain this answer?
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