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Example Questions
Example Question #3 : Miscellaneous Functions
Evaluate:
Evaluate the expression for , then add the four numbers:
Example Question #172 : College Algebra
Evaluate:
Evaluate the expression for , then add the five numbers:
Example Question #2 : Miscellaneous Functions
refers to the floor of , the greatest integer less than or equal to .
refers to the ceiling of , the least integer greater than or equal to .
Define and
Which of the following is equal to ?
, so, first, evaluate by substitution:
, so evaluate by substitution.
,
the correct response.
Example Question #3 : Miscellaneous Functions
refers to the floor of , the greatest integer less than or equal to .
refers to the ceiling of , the least integer greater than or equal to .
Define and .
Evaluate
, so first, evaluate using substitution:
, so evaluate using substitution:
,
the correct response.
Example Question #172 : College Algebra
Consider the polynomial
,
where is a real constant. For to be a zero of this polynomial, what must be?
None of the other choices gives the correct response.
By the Factor Theorem, is a zero of a polynomial if and only if . Here, , so evaluate the polynomial, in terms of , for by substituting 2 for :
Set this equal to 0:
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