SOLUTION: How do you Plot the graphs of the following functions 1. (x)=6x 2. f(x)=3x

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Question 145504: How do you Plot the graphs of the following functions

1. (x)=6x
2. f(x)=3x - 2
3. f(x)=(1/2)x
4. f(x)= log2x

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is note: really looks like

Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is 6 and the run is 1. This means that to go from point to point, we can go up 6 and over 1

So starting at , go up 6 units

and to the right 1 unit to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points and

# 2

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1

So starting at , go up 3 units

and to the right 1 unit to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points and

SOLUTION: How do you Plot the graphs of the following functions 1. (x)=6x 2. f(x)=3x - 2 3. f(x)=(1/2)x 4. f(x)= log2x