In order to find the equation of this exponential function, let's use this model for an exponential equation:
[tex]y=a\cdot b^x[/tex]
Now, using some of the points given, we can find the values of the coefficients 'a' and 'b':
[tex]\begin{gathered} x=0,y=-2 \\ -2=a\cdot b^0 \\ a=-2 \\ \\ x=1,y=-1 \\ -1=-2\cdot b^1 \\ b=\frac{-1}{-2}=0.5 \end{gathered}[/tex]
So our function is:
[tex]y=-2\cdot0.5^x[/tex]
