All HiSET: Math Resources
Example Questions
Example Question #1 : Calculate And Interpret Rate Of Change Over A Specified Interval
What is the slope of the line given by the following table?
Given two points
and
the formula for a slope is
.
Thus, since our given table is
we select two points, say
and
and use the slope formula to compute the slop.
Thus,
.
Hence, the slope of the line generated by the table is
.
Example Question #1 : Calculate And Interpret Rate Of Change Over A Specified Interval
Define .
Give the average rate of change of over the interval
.
The average rate of change of a function over an interval
is equal to
Setting , this is
Evaluate and
by substitution:
,
the correct response.
Example Question #2 : Rate Of Change Of A Function
Define .
Give the average rate of change of over the interval
.
The average rate of change of a function over an interval
is equal to
Setting , this is
Evaluate using the definition of
for
:
Evaluate using the definition of
for
:
The average rate of change is therefore
.
Certified Tutor
Certified Tutor
All HiSET: Math Resources
