Which of these relations are functions?
1 answer:
Answer: None of them are functions.
Step-by-step explanation:
By definition, a relation is a function if and only if each input value have an unique output value.
You need to remember that the input values are the x-values and the output values are the y-values.
In the first table you can observe that the input value 2 has two different output values:
Therefore, this relation is not a function.
Notice that in the second table the input value -4 has two different output values:
Therefore, this relation is not a function.
In the set , observe that the input value -5 has two different output values:
Therefore, this relation is not a function.
You might be interested in
Answer:
option-B
Step-by-step explanation:
We are given
At the start of the year, 15 chameleons were introduced into a zoo
so,
The population of chameleons is expected to grow at a rate of 41.42% every year
so, r=0.4142
and x represents the number of years since the chameleons were introduced into the zoo
now, we can set equation to find total population
and we get
now, we can plug values
Average rate of change between 2 years and 4 years:
we can use formula
now, we can plug values
Average rate of change between 4 years and 6 years:
we can use formula
now, we can plug values
Average rate of change between 6 years and 8 years:
we can use formula
now, we can plug values
now, we will check each options
option-A:
we can see that
So, this is FALSE
option-B:
So, this is TRUE
option-C:
This is FALSE
option-D:
we got
so, this is FALSE