Answer:
[tex]y=3^x[/tex]
Step-by-step explanation:
The equation of the function in exponential form is
[tex]y=a\cdot b^x[/tex]
The function is determined using points (0,1) and (1,3), so their coordinates satisfy the eduation. Substitute them:
[tex]1=a\cdot b^0\Rightarrow a=1\ \ [b^0=1]\\ \\3=a\cdot b^1\Rightarrow 1\cdot b=3,\ b=3[/tex]
Thus, the equation of the function is
[tex]y=3^x[/tex]
