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.