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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

Respuesta :

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

Answer:

Step-by-step explanation:

We are given a graph as

[tex]y=3(2^x)[/tex]

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