117k views
2 votes
Which is the graph of f(x)=3(2/3)x?

Which is the graph of f(x)=3(2/3)x?-example-1

2 Answers

3 votes
It's the last one, there is a point on the three on the y-axis. And a point on the x-axis is 3,1 or at least that's what it looks like.
User AndrewBay
by
8.6k points
3 votes

we have that


f(x)=3((2)/(3))^(x)

Step 1

Find the y-intercept

we know that

The y-intercept is the value of f(x) when the value of x is equal to zero

For
x=0


f(0)=3((2)/(3))^(0)=3

Point
A(0,3)

Step 2

Find the value of f(x) for
x=1


f(1)=3((2)/(3))^(1)=2

Point
B(1,2)

Step 3

Graph the point A and B to find the solution

therefore

the answer in the attached figure

Which is the graph of f(x)=3(2/3)x?-example-1
User Tarsha
by
9.3k points