All HiSET: Math Resources
Example Questions
Example Question #1 : Write A Function That Describes A Relationship Between Two Quantities
is a linear function defined on the set of real numbers. Four values of
are given in the following table:
Give the definition for .
Possible Answers:
Correct answer:
Explanation:
By the two-point formula, the equation of a line through points is
,
where , the slope of the line. The choice of the two points from the given four is arbitrary, so we will select the middle two ordered pairs. Substituting
, then
The first formula becomes
Since , solve for
. First, distribute
throughout the difference at right:
Isolate by adding 10 to both sides:
Replacing, the definition of is
.
All HiSET: Math Resources
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