How do you write an exponential function whose graph passes through (0,7) and (2,63)?

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Answer 1 · 2017-04-24T07:23:47

#y=7xx3^x# or #y=7xx(-3)^x#

An exponential function is of the type #y=ab^x#

As it passes through #(0,7)#, we have

#7=axxb^0# or #7=axx1# i.e. #a=7# and function is #y=7b^x

it also passes through #(2,63)# and hence

#63=7xxb^2# or #7b^2=63# or #b^2=9#

and hence #b=+3# or #b=-3#

and equations are #y=7xx3^x# or #y=7xx(-3)^x#