Answer :
Answer:
[tex]f(x) = a {b}^{x} [/tex]
[tex]f( - 1.5) = a {b}^{ - 1.5} = 27[/tex]
[tex]f(7) = a {b}^{7} = 83[/tex]
[tex] {b}^{8.5} = \frac{83}{27} [/tex]
[tex]b = \sqrt[8.5]{ \frac{83}{27} } = 1.14124[/tex]
[tex]a( {1.14124}^{7} ) = 83[/tex]
[tex]a = 32.91781[/tex]
[tex]f(x) = 32.91781( {1.14124}^{x} )[/tex]
[tex]f( - 0.5) = 30.81[/tex]
