Write an exponential function in the form y ab x whose graph passes through points -3 24 and -2 12?

To find the exponential function in the form ( y = ab^x ) that passes through the points (-3, 24) and (-2, 12), we can set up the equations based on these points. From the first point, we have ( 24 = ab^{-3} ), and from the second point, ( 12 = ab^{-2} ). Dividing the two equations gives us ( \frac{24}{12} = \frac{ab^{-3}}{ab^{-2}} ), which simplifies to ( 2 = \frac{1}{b} ) or ( b = \frac{1}{2} ). Substituting ( b ) back into one of the equations allows you to solve for ( a ), resulting in ( a = 48 ). Thus, the function is ( y = 48 \left(\frac{1}{2}\right)^x ).