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Question 707634: Use the graph of the function to estimate:
a. f(2)
b. f(–4)
c. All x such that f(x) = 0
I can't show the graph on here it won't copy and paste, but I dont' understand what I need to do. Please help.
Found 2 solutions by Edwin McCravy, Edwin Parker:
Answer by Edwin McCravy(20064)   (Show Source):
You can put this solution on YOUR website!
Let's use this graph:
a. f(2)
This says: Find 2 on the x axis. Then go vertically from there
to the graph, and give the value of y there. The value of y there
is -3. The point there is (2,-3). So you write this:
f(2) = -3
-------------------------------
b. f(–4)
This says: Find -4 on the x axis. Then go vertically from there
to the graph, and give the value of y there. The value of y there
is 2. The point there is (-4,2). So you write this:
f(-4) = 2
-------------------------------
c. All x such that f(x) = 0
This asks in reverse what the other two asked. They gave you a value
of x and asked for the corresponding value for y. This gives you a value
of y and asked for the corresponding value(s) for x.
So you look along the graph and find where the graph has a y value of 0,
and give the x values that correspond to a y of zero.
You will see three such points on the graph. They are (-5.5,0), (-2,0), (3,0),
So you write:
f(-5.5) = 0, f(-2) = 0, and f(3) = 0
---------------------------
It's nothing hard at all, as there is nothing to calculate.
It's just a matter of looking and seeing. They're just wanting
you to learn functional notation.
f(2) = -3 merely says "The graph contains the point (2,-3)."
f(-4) = 2 merely says "The graph contains the point (-4,2)."
f(3) = 0 merely says "The graph contains the point (3,0)."
f(-2) = 0 merely says "The graph contains the point (-2,0)."
f(-5.5) = 0 merely says "The graph contains the point (-5.5,0)."
"f(x)" means the same thing as "y".
Edwin
Answer by Edwin Parker(36)  (Show Source):
You can put this solution on YOUR website!
Let's use this graph:
a. f(2)
This says: Find 2 on the x axis. Then go vertically from there
to the graph, and give the value of y there. The value of y there
is -3. The point there is (2,-3). So you write this:
f(2) = -3
-------------------------------
b. f(–4)
This says: Find -4 on the x axis. Then go vertically from there
to the graph, and give the value of y there. The value of y there
is 2. The point there is (-4,2). So you write this:
f(-4) = 2
-------------------------------
c. All x such that f(x) = 0
This asks in reverse what the other two asked. They gave you a value
of x and asked for the corresponding value for y. This gives you a value
of y and asked for the corresponding value(s) for x.
So you look along the graph and find where the graph has a y value of 0,
and give the x values that correspond to a y of zero.
You will see three such points on the graph. They are (-5.5,0), (-2,0), (3,0),
So you write:
f(-5.5) = 0, f(-2) = 0, and f(3) = 0
---------------------------
It's nothing hard at all, as there is nothing to calculate.
It's just a matter of looking and seeing. They're just wanting
you to learn functional notation.
f(2) = -3 merely says "The graph contains the point (2,-3)."
f(-4) = 2 merely says "The graph contains the point (-4,2)."
f(3) = 0 merely says "The graph contains the point (3,0)."
f(-2) = 0 merely says "The graph contains the point (-2,0)."
f(-5.5) = 0 merely says "The graph contains the point (-5.5,0)."
"f(x)" means the same thing as "y".
Edwin
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