Question

SOMEONE PLS HELP ASAP!!!

The exponential function h, represented in the table, can be written as h(x)=a⋅b^x.
x h(x)
0 10
1 4
Complete the equation for h(x) h(x)=?

Answer 1

Answer:
`h(x)=10(0.4)^x`

Explanation:

The exponential function h, represented in the table, can be written as
`h(x)=ab^x`

From table, at x=0, h(x) =10

Put theses values in equation,, we get

`10=a.b^0\\\\\Rightarrow\ 10= a (1)\\\\\Rightarrow\ a= 10`

Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get

`4=10b^1\\\\\Rightarrow\ b=(4)/(10)\\\\\Rightarrow\ b= 0.4`

Put value of a and b in the equation ,

`h(x)=10(0.4)^x` → Required equation.