Question

Graphing an exponential function and its asymptote: f(x) = a(b)x

Answer 1

First, we need to calculate some points

`f(x)=4((5)/(4))^x`

For x=0

`f(0)=4((5)/(4))^0=4`

Point (0,4)

For x=1

`f(1)=4((5)/(4))^1=5`

Point (1,5)

For x=2

`f(2)=4((5)/(4))^2=(25)/(4)=6.25`

Point (2,6.25)

For x=3

`f(3)=4((5)/(4))^3=(125)/(16)=7.81`

Point (3,7.81)

For x=4

`f(4)=4((5)/(4))^4=(625)/(64)=9.76`

then we plot the points and we connect them

then the asymptote is y=0