For the graphed exponential equation, calculate the average rate of change from x = −4 to x = 1.
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OpenStudy (katecc379):
OpenStudy (katecc379):
@imqwerty
OpenStudy (lord_box):
\[avg = \frac{ f(b) - f(a) }{ b - a }\], which is change in y / change in x and rise/run. You can use the values given by the graph to determine the slope between two points.
OpenStudy (katecc379):
still dont get it
OpenStudy (welshfella):
its not -1/3
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OpenStudy (katecc379):
-4/5?
OpenStudy (katecc379):
@welshfella
OpenStudy (welshfella):
what is the value of a and b ?
these are the 2 values of x which are stated in the question, b being the second value
get it?
OpenStudy (katecc379):
-4 and 1?
OpenStudy (katecc379):
sorry im not understanding
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OpenStudy (welshfella):
right but which is a and which is b ?
OpenStudy (katecc379):
a is -4 b is 1?
OpenStudy (welshfella):
right b is the highest value
we go from -4 to 1
so the bottom part of Lord_Box 's formula comes to 1 - (-4) = what?
OpenStudy (katecc379):
5
OpenStudy (welshfella):
b - a = 1 -(-4) = 1 + 4 = 5
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OpenStudy (welshfella):
yeah
OpenStudy (katecc379):
so -4/5?
OpenStudy (welshfella):
Now f(a) and f(b) are the corresponding 'y' values of x = -4 and x = 1
from the graph what is the value of f(a) when x = -4?
OpenStudy (katecc379):
0?
OpenStudy (welshfella):
right
you are getting it now and f(b) = -4
so answer is (-4 - 0) / 5= -4/5
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