Question

Consider the graph of the expotential function y= 3(2)^x

the y intercept of the graph is ?
the x intercept of the graph is ?
is the graph increasing or decreasing ?

Answer 1

y-intercept = 3

x-intercept - not exist

the graph is increasing

Explanation:

The exponential function:

`f(x)=b(a)^x`

has y-intercept for x = 0

hasn't x-intercept

if a > 1, then is increasing

if 0 < a < 1, then is decreasing

We have

`y=3(2)^x`

a = 2 >1 - increasing

for x = 0:

`y=3(2)^0=3(1)=3`