Question

Which of the following is the function representing the graph below?

Answer 1

f(x) = one–third to the power of x + 1

f(x) = one–third to the power of x – 1

f(x) = 3x – 1

f(x) = 3x + 1

Answer 2

@amishjeb

Answer 3

You can start by crossing off the last two chances because 3x+1 is just a line with slope of 3 and y-intercept of 1.

Easiest way would probably be to check some of the points, do easy ones. Like, plug in a number for x and solve and it'll give you its Y. For instance, at the point where x=0, y would be? That will give you the answer.

Answer 4

So B then right?

Answer 5

So how would you graph (1/3)^x

Answer 6

Yes, B is correct.

Answer 7

Easiest way is to plug in some numbers for x and make a table and then connect the dots. Keep in mind you can usually figure out how graphs look if you study transformations.

Answer 8

(1/3)^x, when x < 0, it really means
\[\frac{ 1 }{ \frac{ 1 }{ 3 }^{x} }\]

Should be easy to solve for that, but you can see that the function grows. If x > 0, then it'll continue to get smaller and smaller, just sub in 2 or 3 in for x.