SOLUTION: Refer to the PhotoBucket Graph (link below)and identify the graph that represents the corresponding function below. Justify the answer. http://i243.photobucket.com/albums/ff78/

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Question 107803This question is from textbook Elementary and intermediate Algebra
: Refer to the PhotoBucket Graph (link below)and identify the graph that represents the corresponding function below. Justify the answer.
http://i243.photobucket.com/albums/ff78/pstonephoto/Graph.gif This question is from textbook Elementary and intermediate Algebra

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
When we must match an equation with it's graph, we can simply graph the given equation.

You can pick either equation to match, but I find the first equation to be easier.

So let's graph

In order to graph , let's plot some points

First let x=0

Plug in x=0

Simplify

So when x=0, y=1. This means we have one point of (0,1)

Now let x=1

Plug in x=1

Simplify

So when x=1, y=2. This means we have one point of (1,2)

Now let x=2

Plug in x=2

Simplify

So when x=2, y=4. This means we have one point of (2,4)

Now let x=3

Plug in x=3

Simplify

So when x=3, y=8. This means we have one point of (3,8)

You can evaluate more x values, but this should be enough to see the basic shape of the graph.

So essentially we have a table of these values

x y
0 1

1 2

2 4

3 8

Now let's plot all the points on the same coordinate system

Now draw a line through the points. The more points you plot, the better picture you get of what the graph should look like.

So when we look at the graph

we can see that the topmost graph is the equation and the other graph is by process of elimination