Question

Please help

The exponential function g, represented in the table, can be written as g(x)= a⋅b^x
x | g(x)
0| 8
1 | 10

Answer 1

a = 8

b = 5/4

Explanation:

g(x) = 8 * (5/4)∧x

where symbol ∧ stands for raise to the power

according to the question,

g(0) = a * b∧0

8 = a * 1

as any base raise to the power 0 equals 1

thus, a = 8

g (1) = a * b∧1

10 = 8 * b

thus, b = 10/8 = 5/4