SOLUTION: Could someone please show me how to do this problem, Graph the following function f(x)=(-1/3)x+2 There are no parentheses around the -1/3 Thank You

Algebra ->  Number-Line -> SOLUTION: Could someone please show me how to do this problem, Graph the following function f(x)=(-1/3)x+2 There are no parentheses around the -1/3 Thank You      Log On


   

Question 153957This question is from textbook college algebra Blitzer
: Could someone please show me how to do this problem,
Graph the following function f(x)=(-1/3)x+2
There are no parentheses around the -1/3
Thank You This question is from textbook college algebra Blitzer

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm confused.
You say there are no parentheses around -1/3 but you show them.
Is it
y=-%281%2F3%29x%2B2
or
is it
y=-1%2F%283x%29%2B2
I'll graph them both and you can choose the one you need.
Let's start with
y=-%281%2F3%29x%2B2
To graph, pick a range of x that you want.
I'll let x vary from -3 to 3 in steps of 1 and calculate y values.
y%28-3%29=-%281%2F3%29%28-3%29%2B2=3
y%28-2%29=-%281%2F3%29%28-2%29%2B2=8%2F3
y%28-1%29=-%281%2F3%29%28-1%29%2B2=7%2F3
y%280%29=-%281%2F3%29%280%29%2B2=2
y%281%29=-%281%2F3%29%281%29%2B2=5%2F3
y%282%29=-%281%2F3%29%282%29%2B2=4%2F3
y%283%29=-%281%2F3%29%283%29%2B2=1
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Now plot the x,y pairs.

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Then connect the points with a straight line.

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Next, it's the same procedure, just a different function.
y%28-3%29=-1%2F%283%28-3%29%29%2B2=19%2F9
y%28-2%29=-1%2F%283%28-2%29%29%2B2=13%2F6
y%28-1%29=-1%2F%283%28-1%29%29%2B2=7%2F3
y%280%29=-1%2F%280%29%2B2 This value is undefined
y%281%29=-1%2F%283%281%29%29%2B2=5%2F3
y%282%29=-1%2F%283%282%29%29%2B2=11%2F6
y%283%29=-1%2F%283%283%29%29%2B2=17%2F9

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The function is not linear and goes off to infinity as x approaches 0 from the left and goes off to -infinity as x approaches 0 from the right.
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To get better definition of the function, you would use more points. I shortcutted(cheated) and used the graphing software.