How do you find the domain and range of #f(x) = 3-2x^2 #?

Answer 1

Domain; # x in RR#
Range; # f(x) <= 3 #

When we draw the function, graph{3-2x^2 [-10, 10, -5, 5]}, it becomes clear.

Hence #x in RR# And we can prove that the greatest value of #f(x)# is 3, as #f(0) = 3#, and as the porabola is negative, then any other value of x is #<=3#
Hence #f(x) <=3# and # x in RR#
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Answer 2

The domain of the function f(x) = 3 - 2x^2 is all real numbers. The range of the function is all real numbers less than or equal to 3.

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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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