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How do you find #w(-7)# given #w(t)=-2t+1#?

Answer 1

Genesis Allen

Substitute ( t = -7 ) into the expression ( w(t) = -2t + 1 ):

[ w(-7) = -2(-7) + 1 ]

[ w(-7) = 15 ]

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Answer 2

Ethan Adkins

#w(t) = -2t + 1#

#w(-7) = -2(-7) + 1#

# = 14 +1#

# = 15#

When you have an equation, such as the above, #w(t)# is saying that #w# is a function of #t#, real numbers.

So, when asked to find #w(-7)#, the question is asking, At #t = -7#, what is the value of the function #w#? Therefore, if you substitute the value #-7# for each t into the equation, then #w = 15#.

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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.