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What is the graph of the function?
f(x)=−1x−2+3

User Cheborra
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3 votes

Answer:

See below.

Explanation:

If you've written the equation correctly, then the (-2 +3) is superfluous and should be combined to a "1". Also, the "1" in front of x isn't needed. So that simplifies to this:

f(x) = -x + 1

And they don't always make this clear, but "f(x)" is really y. So what you do is put in different values for x and see what y turns out to be.

It's usually easiest to start with x = 0 and then increase by 1 or 2 each time.

So when x = 0, then:

y = -(0) + 1 = 1 Do you follow that? Then let's do x = 1:

y = -1 + 1 = 0 Now do x = 2:

y = -2 + 1 = -1

What we've done is developed 3 points on our graph:

(0, 1), (1,0), and (2,-1)

I've graphed those below, so have a look at that.

The first graph is those 3 points plotted, then I connected the dots with a line through and beyond them. (Because the function/line goes to infinity both ways.) For more precision of exactly where the line is you should find points farther out along the line. Out around plus/minus 8 would be good, so solve for 8:

y = -8 + 1 = -7 --> (8,-7)

And solve for -8:

y = -(-8) + 1 = 9 --> (-8,9)

I plotted those new points and they landed on my line pretty good, but notice they're a teeny bit off, so you'd want to move your line to land exactly on those points. 2nd graph below.

What is the graph of the function? f(x)=−1x−2+3-example-1
What is the graph of the function? f(x)=−1x−2+3-example-2
User Sergey Tihon
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7.6k points

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