What are the local extrema of #f(x)= 5x - 3#?

Answer 1

A linear function has no local extrema.

#f'(x)=5# is never undefined and it is never #0#, so #f(x)=5x-3# cannot have local extrema. (Fermat's Theorem)
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Answer 2

The function ( f(x) = 5x - 3 ) is a linear function, which means it does not have local extrema. Instead, it has a constant rate of change represented by its slope, which is 5 in this case. Therefore, there are no local maxima or minima for this function.

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Answer from HIX Tutor

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.

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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