SOLUTION: How do I Graph the function f(x) = x + 2?

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Question 261306: How do I Graph the function f(x) = x + 2?

Found 2 solutions by jim_thompson5910, CharlesG2:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations
In order to graph y=1%2Ax%2B2 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-9

y=1%2A%28-9%29%2B2

y=-9%2B2 Multiply

y=-7 Add

So here's one point (-9,-7)




Now lets find another point

Plug in x=-8

y=1%2A%28-8%29%2B2

y=-8%2B2 Multiply

y=-6 Add

So here's another point (-8,-6). Add this to our graph





Now draw a line through these points

So this is the graph of y=1%2Ax%2B2 through the points (-9,-7) and (-8,-6)


So from the graph we can see that the slope is 1%2F1 (which tells us that in order to go from point to point we have to start at one point and go up 1 units and to the right 1 units to get to the next point) the y-intercept is (0,2)and the x-intercept is (-2,0)


We could graph this equation another way. Since b=2 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,2).


So we have one point (0,2)





Now since the slope is 1%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,2), we can go up 1 units



and to the right 1 units to get to our next point


Now draw a line through those points to graph y=1%2Ax%2B2


So this is the graph of y=1%2Ax%2B2 through the points (0,2) and (1,3)

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
How do I Graph the function f(x) = x + 2?
treat f(x) which means y is a function of x as y
a function is when for every value of x there exists only one y
f(x) = x + 2 is the equation of a line
a line is y=mx+b where m is the slope and b is the y-intercept (or vertical intercept at (0,b))
in this case m=1 and b=2
to graph means you plug in values for the function and plot them on a coordinate grid

+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+x%2B2%29+