Question

Which graph best represents the function f(x) = 1(1.5)x?

Answer 1

Would you like me to walk you through how to graph this so you can see?

Answer 2

yes please

Answer 3

First let me ask, can you look closely at the equation to be graphed and confirm that
this f(x) = 1(1.5)x
and not this f(x) = 1(1.5)^x

Is the equation?

Answer 4

no, my mistake, the equation is f(x)= 1(1.5)^x

Answer 5

forgot to add that port, my bad x.x

Answer 6

part*

Answer 7

Alright very cool.

Let's make a table of values to draw our own graph so we can see what it looks like.

I would like to point out that f(x) = y

This is how we start a table of values.



It is meant to give us x's and y's we can turn into points on a graph that when put together make (x, y) points/coordinates we can then plot.

Answer 8

So we need to start with some values of x. I always like to start with x = -1, 0, and 1 so that the calculations will be easier.

Answer 9

If we plug in -1 for x, x = -1
We will get this,

f(-1) = 1(1.5)^-1

Answer 10

Sorry about that. When we plug in -1 for x we get f(-1) = 1(1.5)^-1

Which is 1/ 1(1.5)^1
1/ 1(1.5)
1/ 1.5
1/3

f(-1) = 1/3

And if we plug in 0 for x, we get,

f(0) = 1(1.5)^0
Anything raised to the 0 power is 1

Examples include
10^1 = 1
2^1 = 1
2342^1 = 1

So f(0) = 1(1) or 1

Answer 11

We can now say we have the points (-1, 1/3) and (0, 1) to plot on a graph.