# How do you determine the intervals where #f(x)=3x-4# is concave up or down?

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Neither- point of inflection

When we want to determine if a function is concave up or concave down, we want to analyze the function's second derivatives

We have three possible scenarios:

Hope this helps!

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To determine the intervals where ( f(x) = 3x - 4 ) is concave up or down, you need to find the second derivative of the function. If the second derivative is positive, the function is concave up on that interval. If the second derivative is negative, the function is concave down on that interval.

The second derivative of ( f(x) = 3x - 4 ) is ( f''(x) = 0 ). Since the second derivative is constant and equal to zero, it means that the concavity of the function does not change. Thus, ( f(x) = 3x - 4 ) is neither concave up nor concave down; it is linear.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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