Cna someone help solve this conjecture? IB Mathematics?

Question

The table below shows the number of solutions of the equation for the domain 0
Value of aValue of bNumber of Solutions
1 0.5 2
2 0.5 2
3 0.5 2
1 0.2 2
3 0.3 4
10 0.6 6
4 0.5 3
-3 0.5 3
-1 0.5 1

Does anyone see a patern between a nd b values and how mnay solutinos there are?

Cna someone help solve this conjecture? IB Mathematics?
The table below shows the number of solutions of the equation for the domain 0
Value of a....Value of b.Number of Solutions
1 .......................0.5 ..................2
2 ........................0.5 ...................2
3 ........................0.5 ...................2
1 .......................0.2................... 2
3 .......................0.3................... 4
10 ......................0.6................... 6
4 .......................0.5.................... 3
-3 .......................0.5.................... 3
-1 .......................0.5..................... 1

Does anyone see a patern between a nd b values and how mnay solutinos there are?

Answer 1

Value of aValue of bNumber of Solutions
1 0.5 2
2 0.5 2
3 0.5 2
1 0.2 2
3 0.3 4
10 0.6 6
4 0.5 3
-3 0.5 3
-1 0.5 1

Does anyone see a patern between a nd b values and how mnay solutinos there are?