Answer: [tex]a=-3, b=2[/tex]
Step-by-step explanation:
1. To solve this problem substitute the values of [tex]a[/tex] and [tex]b[/tex] into the function [tex]y=a*b^{x}[/tex] and prove for the value [tex]x=0[/tex].
2. When [tex]x=0[/tex], [tex]b^{0}=1[/tex] and [tex]a*1=a[/tex]; this means that the graph of the function should cut in the axis [tex]y=a[/tex], if this does not happen, the values of [tex]a[/tex] and [tex]b[/tex] are not the right ones.
3. Then, we conclude that the correct option is the Option A:
[tex]y=a*b^{x}[/tex]
[tex]y=-3*2^{0}[/tex]
[tex]y=-3[/tex]
4. You can see that the function cut the y-axis at -3.
