Lesson 13-4 for exercise sets. &KDSWHU
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Identify the domain and range of each relation. Is the relation a function?
Explain your answer.
1.(25, 6), (20, 8), (15, 6), (25, 8), (15, 7) 2.(8, 5), (6, 3), (10, 5), (9, 5), (3, 3)
Write a function rule for the relation.
3.
4.Discuss and Write Explain how you would write a function rule to describe
the relationship of hours to minutes. Write the function rule.
Number of Hours (x) 12345
Amount Earned (y) $15.50 $31 $46.50 $62 $77.50
The table below shows the total number of
cans of food Zoe’s cats ate over 5 days.
The relation is one-to-one. Each x-value is
mapped to exactly one y-value.
The relation is a function.
The table below shows the average
temperature over a five-day period.
The relation is one-to-many.
The x-value 30 is mapped to two y-values.
The relation is not a function.
Avg. Temp. (F) (x) 24 32 30 34 30
Day (y) MTWThF
Number of Days (x) 12345
Cans of Cat Food (y) 3 6 9 12 15
One way to determine whether a relation is a function is to pair or
map each input (x) value with its corresponding output (y) value.
Determine if each relation is a function.
A relates the input (x) values to the corresponding
output (y) values. To write a function rule, compare the output
values to their corresponding input values.
Write a function rule for the relationship between the number of hours
and the number of miles traveled.
Look for a pattern between the input and output values.
Let x= the number of hours. The number of hours is the input value.
Let y= the number of miles traveled. The number of miles is the output value.
Each output value is 55 times the corresponding input value.
Write the function rule as y= 55x.
Number of Hours 12345
Number of Miles 55 110 165 220 275
function rule
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F