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How to Determine If a Relation is a Function

Determine which relation is a function a) {(3,0),(0,3), (5,4),(0,1)}
b){ (0,0),(0,3), (0,4),(0,1)}
c) {(-1,0),(3,0),(-1,4), (5,2)}
d){(3,0),(2,3),(5,4),(6,1)}

the relation {(5,0),(1,9),(2,4)} is not a function when ordered pair is added to the set.

a)(3,0) b)(9,1) c)(-6,-8) d)(2,7)
the table is the projected ratio of males and females at different ages in the year 2025 determine if this relation is a function and explain the relationship between the age of population and the ratio of males to females

age: 14 24 44 64 74
ratio: 1.05 1.042 98.0 94.0 83.0

a) function; as the age increases the ratio increases
b) function; as the age increases the the ratio decreases
c) not a function as the age increases the ratio increases
d)not a function as the age increases the ratio decreases

which is not a solution of the equation y=3x-4

a) (2,2) b)(4,8) c)(0,-4) d)(-1,-1)

which set of ordered pairs can be used to graph y=x-2

a)(-1,-3),(1,1),(3,1) b)(-1,3),(1,-1)(3,-1) c)(-3,-1),(1,-1),(1,3) d)(-1,-3),(1,1),(-3,-1)

suppose y varies directly with x and y= 12 when x=6 write an equation
a) y=12x b)y=6x c) y=1/2x d)y=2x

the table is the temperature of a potato in a oven 300 degrees what is the rate of change of the potato in the first 20 minutes

t (minutes) 0 10 20 30 40
T(temperature) 70 95 130 200 270

a) 130 degrees b)13/7 c) 3 degrees per minute d) 5 degrees per minute.

Solution Preview

To see if two variables can form the function, for any given value x1, there should be a unique vale y1. Only choice d meets this requirement.

To see if two variables can form the function, for any given value x1, there should be a unique vale y1. In this case, we try to find another x in the options that is same as what is included in the the relation {(5,0),(1,9),(2,4)}. So the choice is d.

To see if two variables can form the ...

Solution Summary

The solution determines if a relation is a function.

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