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Mathematics 19 Online
OpenStudy (katecc379):

For the graphed exponential equation, calculate the average rate of change from x = −4 to x = 1.

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

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

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

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

OpenStudy (katecc379):

thank you, can you help witha couple more?

OpenStudy (welshfella):

i cant I have to go right now

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