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Example Questions
Example Question #173 : College Algebra
Evaluate:
Evaluate the expression for
, then add the four numbers:
Example Question #4 : Miscellaneous Functions
Evaluate:
Evaluate the expression for
, then add the five numbers:
Example Question #175 : College Algebra
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 #176 : College Algebra
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 #177 : 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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