Why are you so sure the exponential function has base ? We know the exponential function is increasing so the base >1.
I need to come up with an exponential equation which fulfils the following criteria;
-is an increasing function
-is concave up
-pass through the points (0,3) and (4,11)
-has a definite integral of 22 between x=0 and x=4.
Hello, asaver!
I need an exponential equation which fulfils the following criteria:
. . [1] is an increasing function
. . [2] is concave up
. . [3] pass through the points (0,3) and (4,11)
. . [4] has a definite integral of 22 between x=0 and x=4.
Because of the -intercept
. . you believe the function has the form:
But it could have the form: .
You had best begin with the general exponential function: .
[1] and [2] tells us that
[3] says and
. . We have: .
[4] gives us: .
We have three equations in three variables
. . Solve the system.