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Algebra
Question

8. [5 marks] Find an equation for an exponential f...

8. [5 marks] Find an equation for an exponential function of the form \( f ( x ) = \) \( b ( a ^ { x } ) + c \) that satisfies the following conditions: 

-The graph of \( f \) has a horizontal asymptote of \( y = 33 \) . 

\( f ( 0 ) = 40 \) 

\( f ( 2 ) = 208\) 

Show all your work completely. 

Answer

\(f ( x ) = 7 ( 5 ) ^ { x } + 33 \) or \( f ( x ) = 7 ( - 5 ) ^ { x } + 33\) 

Solution
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