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How do you write an equation in the form f(x) = kx^n for the direct variation functions given f(2) = 8 and n = 4?

Answer 1
Avery AlexanderAvery Alexander

#f(x)=kx^n# is not a direct variation function

If #f(x)# were a direct variation function replacing #x# with a multiple of #x# would result in the value of #f(x)# being multiplied by that same multiple. To be a direct variation #f(a*x)=a*f(x)#
However, if the intended question was simply to fin the value of #k# given #color(white)("XXX")f(x)=kx^n# and #color(white)("XXX")f(2)=8# when #n=4# then #color(white)("XXX")f(2)=k*(2^4)=k*16=8# #rArr k=1/2#
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Answer 2
Hazel AnglinHazel Anglin

f(x) = 2x^2

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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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