For f(x) = 0.02(2)^x find the average rate of change from x= 3 to x= 8
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Ok, first you need to read a - g and mark down the information you know. Also, this continuous function can look pretty much like anything long as it has the a - g constraints/rule.
A) We know the domain(x values) is between -10 to infinity
(-10,-9,-8,-7,-6,-5,-4,-3-,2,-1,0,1,2,3,4,5,6,7,8,9,10, to ---------> infinity)
B) We know the range(y values) is between -6 to infinity
(-6,-5,-4,-3-,2,-1,01,2,3,4,5,6,7,8,9,10, to ---------> infinity)
C) Next we know f(0) = f(4) = 0
So we know when x = 0 that f(0) = 0 or we can say y = 0. We also know when f(4) = 0 so when x = 4 y = 0. So we have two points (0,0) and (4,0) that our function will be on so plot the two points (0,0) (4,0)
D) It tells us that f(x) (y) is increasing between the x values (-10,-6) or (-2,2) or (4, to infinity)
E) It tells us that f(x) (y) is decreasing between the x values (-6,-2) or between (2,4)
F) Tells us that f(x) (y) is greater than or equal to between the x values of [-8,-4] or between the x values [0, to infinity) so this lets us know our drawing is going to be above or equal to 0 when we are in the values [-8,-4] or [0, to infinity)
G) Tells us that f(x) (y) is less than 0 when the function / drawing is between the x values of (-10, -8) or (-4,0)
The picture is what the function could look like. It can be different but needs to following the rules that are given
A) We know the domain(x values) is between -10 to infinity
(-10,-9,-8,-7,-6,-5,-4,-3-,2,-1,0,1,2,3,4,5,6,7,8,9,10, to ---------> infinity)
B) We know the range(y values) is between -6 to infinity
(-6,-5,-4,-3-,2,-1,01,2,3,4,5,6,7,8,9,10, to ---------> infinity)
C) Next we know f(0) = f(4) = 0
So we know when x = 0 that f(0) = 0 or we can say y = 0. We also know when f(4) = 0 so when x = 4 y = 0. So we have two points (0,0) and (4,0) that our function will be on so plot the two points (0,0) (4,0)
D) It tells us that f(x) (y) is increasing between the x values (-10,-6) or (-2,2) or (4, to infinity)
E) It tells us that f(x) (y) is decreasing between the x values (-6,-2) or between (2,4)
F) Tells us that f(x) (y) is greater than or equal to between the x values of [-8,-4] or between the x values [0, to infinity) so this lets us know our drawing is going to be above or equal to 0 when we are in the values [-8,-4] or [0, to infinity)
G) Tells us that f(x) (y) is less than 0 when the function / drawing is between the x values of (-10, -8) or (-4,0)
The picture is what the function could look like. It can be different but needs to following the rules that are given