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A relation is a set of ordered pairs. A functions is a relation that has one _____ for an _____.
One output, or range value for every one input, or domain value.
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Is this a function?
{(-2,-1),(-1,0),(6,3),(-2,1)}
No because (-2,-1) and (-2,1) have 2 output values for 1 input values.
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Use the vertical line test to see if it is a function or not. There will only be 1 point on a vertical line. For example,
..l /
..l/
../
./l = Yes
/ l
\l
.\
.l\ =NO
.l/
./
/l
I understand
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Absolute Value functions make a shape of a ____
V
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To solve an absolute value question, you need to _______.
Simplify it down to just the absolute value and then write 2 equations.
- l3rl+1>8
- .....-1..-1
- 3r>7
- -3r<7
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A quadratic equation has an ________ and x as a ____, and forms a _______
A quadratic equation has an exponent and x as a base, and forms a parabula.
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To find the function rule, what would you do mathematically to __ to get __?
Yep
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If the chart goes in order, like the one below, __________.
x y
1 3__
2 5<-l 2
3 7<-l 2
4 9<-l 2
Multiply by the difference of the numbers on the right. That charrt is 2x+1=y
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The direct variation equation is ____
y=kx
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The constant of variation, _, is the co-efficient of x, and x and y vary directly.
k
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The equation for inverse variation is ____.
xy=k
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Inverse variations vary inversely, meaning _____
One goes up, the other goes down. It's like a pulley.
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The points (3,8) and (2,y) vary inversely. Find the missing value.
- xy=k
- 2y=24
- __..__
- 2....2
- y=12
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