Answer
$f(9)-f(7) $has the greater magnitude.
Interpretation:
The magnitude of change in the number of housing starts
was greater from 2007 to 2009
than from 2000 to 2005
Work Step by Step
The graph contains points (t, f(t))
Reading the graph we note that the points
(0, 1200) , (5, 1700), (7, 1000), and (9,400) are ON THE GRAPH.
So,
$f(0)=1200,$
$f(5)=1700,$
$f(7)=1000$
$f(9)=400$
The magnitude of $f(5)-f(0) =|f(5)-f(0)|$
$=|1700-1200|=|500|=500$
The magnitude of $f(9)-f(7) =|f(9)-f(7)|$
$=|400-1000|=|-600|=600$
$f(9)-f(7) $has the greater magnitude.
Interpretation:
The magnitude of change in the number of housing starts
was greater from 2007 to 2009
than from 2000 to 2005
