y = mx + b = f(x) x f(x). 10. 0. 10. -10. -10. 3. 2. 4. 5. 6. Page 2. y y x x x f(x) = x + 2 f(x) = x + 2 f(x) = x + 2 y = 2 + 2 x = 2 y = 1 + 2 x = 1 x = 0 y = 0 + 2 f(2) = 4 f(1) = 3.
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y
-10
x
-10 3
x = real number y=x+2 5
y
f(x) = x + 2 ( 7, 9)
0
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10 Paula Beardell Krieg 2015
x
y = mx + b = f(x) 2
x=7 y = 7+ 2 6
y
f(x) = x + 2 f(7)= 9 ( 6, 8)
x
x=6 y=6+2
f(x) = x + 2 f(6)= 8
f(x)
x
x=3 y=3+2
10
y ( 2, 4)
x
f(x) = x + 2 f(3) = 5
x ( 3, 5) 9
x=2 y=2+2
x=4 y=4+2
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y
( 1, 3)
x
y
f(x) = x + 2 f(4) = 6
x 8
x=1 y=1+2
x=5 y=5+2
12
x
y
( 4, 6) f(x) = x + 2 f(5) = 7
x 7
f(x) = x + 2 f(2) = 4
x=0 y=0+2
y
f(x) = x + 2 f(1) = 3
( 0, 2)
f(x) = x + 2 f(0) = 2
y
( 5, 7)
x = -3 y = -3 + 2
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y
x
(-4, -2)
15
x = -2 y = -2 + 2
17
x
y
f(x) = x + 2 f(-2) = 0
( -2, 0)
x 14
x = -1 y = -1 + 2
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13
y
f(x) = x + 2 f(-4) = -2
( -5, -3)
x = -5 y = -5 + 2
x
x
f(x) = x + 2 f(-3) = -1 ( -3, -1)
x
x = -4 y = -4 + 2
y
f(x) = x + 2 f(-5) = -3
( -6, -4)
x = -6 y = -6 + 2
f(x) = x + 2 f(-6) = -4
y
f(x) = x + 2 f(-1) = 1
(-1, 1) y
x = real number y = -3x − 3
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y (-4, 9)
x
f(x) = -3x − 3
x 21
x = -4 y = -3(-4)− 3
x = -8 y = -8 + 2
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y
f(x) = -3x − 3 f(-4) = 9
(-3, 6)
y
f(x) = x + 2 f(-8) = -6
( -8, -6) x
x 20
x = -3 y = -3(-3)− 3
x = -7 y = -7 + 2
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y
(-7, -5)
x
x 19
y
f(x) = -3x − 3 f(-3) = 6
(-2, 3)
x = -2 y = -3(-2)− 3
f(x) = -3x − 3 f(-2) = 3
y
f(x) = x + 2 f(-7) = -5
25
x=1 y=3
y
x
x
x = -1 y = -3(-1)− 3
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(1, 3)
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x=1 y=3
(-1, 0)
y
x
x
f(1) = 3 (f(1), 3)
y
f(x) = -3x − 3 f(-1) = 0
(0, -3)
x=0 y = -3(0)− 3
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(1, 3)
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x=2 y = -3(2)− 3
y
f(x) = -3x − 3 f(2) = -3 (2, -3)
y
f(x) = -3x − 3 f(0) = -3
x
x
(1, -6) x=1 y = -3(1)− 3
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y
f(x) = -3x − 3 f(1) = -6
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x
x=1 y=3
y (1, 3)
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y (1, 3)
x
x=1 y=3
(1, 1+2) (f(1), 3)
f(x) = x + 2 f(1) = 3
(1, 1+2) (f(1), 3)
f(x) = x + 2 f(1) = 3
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The form f(x) = y tells us that there is a function, somewhere, with an x and y.
If you see f(x) = y with values speci�ied, such as f(2) = 3, it is implied that this point (2, 3) belongs to a function, although you may or may not know what that function is. When you are given just the coordinates of point such as (2,3) you can mark this point on a graph but, without any other information, it’s just a point without a function.
