Question 162766: The directions say to match a function with its graph.
I think I can graph it on my own.
But I am completly confused with how to find out the coordinates. so that I can see which graph matches the function the best, so please help. (:
the function is: f(x) = 3|x|
Found 2 solutions by gonzo, jim_thompson5910:
Answer by gonzo(654)   (Show Source):
You can put this solution on YOUR website! if f(x) = x, then
f(3) = 3
f(5) = 5
you substitute the x with a value of x and solve.
in your problem,
f(x) = 3*|x|
set y = f(x) so the equation becomes y = 3*|x|.
now pick some x values and you'll get some y values.
example:
if x = 3, f(x) = y = 3 * |3| = 3 * (3) = 9
if x = 1, f(x) = y = 3 * |1| = 3 * (1) = 1
if x = 0, f(x) = y = 3 * |0| = 3 * (0) = 0
if x = -1, f(x) = y = 3 * |-1| = 3 * (1) = 1
if x = -3, f(x) = y = 3 * |-3| = 3 * (3) = 9
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whether x is negative or positive, the y value which is the same as f(x) will always be positive.
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plot points from x = -5 to x = + 5 at least and you'll see the shape of the curve.
you may already see it from the points already plotted here.
Answer by jim_thompson5910(35256) (Show Source):
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