Question

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

the y intercept of the graph is?

A)0

B)2

C)3

the x intercept of the graph is?

A)0

B)2

C)3

the graph is

A)increasing

B)decreasing

Answer 1

y intercept 3 and the x intercept is 2 the graph is increasing

Answer 2

Explanation:

We are given a graph as

`y=3(2^x)`

This is exponential

To find y intercept

Put x=0

We get

y =3(1) =3

So option C

Xintercept

Put y=0

We find that x becomes -infinity

i.e. x is very large negatively to intercept or

x intercept is not defined

To find increasing:

Find derivative

y'=3(2^x) ln 2

This is always positive

Hence a) incresing