Notes Over 4.8
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Notes Over 4.8 Identifying Functions Identifying Functions A relation where each input has exactly one output. Functi on Decide whether the relation is a function. If it is a function, give the domain and the range. 1. Input Output 2 1 4 3 5 8 Not a function, because 4 goes to both 3 and 5
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Notes Over 4.8. 1 3 5 8 7. Identifying Functions. Function. A relation where each input has exactly one output. Decide whether the relation is a function. If it is a function, give the domain and the range. 1. Input Output. - PowerPoint PPT Presentation
Transcript of Notes Over 4.8
Notes Over 4.8Identifying FunctionsIdentifying Functions
A relation where each input has exactly one output. Function
Decide whether the relation is a function. If it is a function, give the domain and the range.
1. Input Output2 1
4 3
5
8 7
Not a function, because 4 goes to both 3 and 5
Notes Over 4.8Identifying FunctionsIdentifying Functions
A relation where each input has exactly one output. Function
Decide whether the relation is a function. If it is a function, give the domain and the range.
2. Input Output1 1
2 4
3 9
4 16
A function, because every input goes to only one output
Domain: the inputRange: the output
D 1, 2, 3, 4
R 1, 4, 9, 16
Notes Over 4.8Identifying FunctionsIdentifying Functions
A relation where each input has exactly one output. Function
Decide whether the relation is a function. If it is a function, give the domain and the range.
3. Input Output1
2 4
3 6
4 8
A function, because every input goes to only one output
Domain: the inputRange: the output
D 1, 2, 3, 4
R 4, 6, 8
Notes Over 4.8Identifying FunctionsIdentifying Functions
The equation y = 3x – 4 becomes f(x) = 3x – 4, where the solution (x, y) becomes (x, f(x)).
Function Notation
29 .4 xxf
2393 f
Evaluate the function when x = 3, x = 0, x = - 2.
27 2 29
2090 f 0 2 2
2292 f 18 2 16
Notes Over 4.8Identifying FunctionsIdentifying Functions
The equation y = 3x – 4 becomes f(x) = 3x – 4, where the solution (x, y) becomes (x, f(x)).
Function Notation
45.0 .5 xxf
435.03 f
Evaluate the function when x = 3, x = 0, x = - 2.
15 4. 55.
405.00 f 0 4 4
425.02 f 1 4 3
Notes Over 4.8Identifying FunctionsIdentifying Functions
The equation y = 3x – 4 becomes f(x) = 3x – 4, where the solution (x, y) becomes (x, f(x)).
Function Notation
37 .6 xxf
3373 f
Evaluate the function when x = 3, x = 0, x = - 2.
21 3 18
3070 f 0 3 3
3272 f 14 317
Notes Over 4.87. While on vacation, your family traveled 2040 miles in 6 days. Your average speed was miles per day.
tf
Verbal Model
Distance traveled
Average speed Time
Labels: Distance traveled = f ( t )Average speed = 340 miles per dayTime = t days
340t
Writing and Using a Linear FunctionWriting and Using a Linear Function
a. Write a linear function that models the distance that your family traveled each day.
340
Notes Over 4.87. While on vacation, your family traveled 2040 miles in 6 days. Your average speed was 340 miles per day.
ttf 340
Writing and Using a Linear FunctionWriting and Using a Linear Function
b. Use the model to find the distance traveled after 1.5 days of travel.
5.13405.1 f 5105.1 f
Notes Over 4.87. While on vacation, your family traveled 2660 miles in 7 days. Your average speed was miles per day.
tf
Verbal Model
Distance traveled
Average speed Time
Labels: Distance traveled = f ( t )Average speed = 380 miles per dayTime = t days
380t
Writing and Using a Linear FunctionWriting and Using a Linear Function
a. Write a linear function that models the distance that your family traveled each day.
380
Notes Over 4.87. While on vacation, your family traveled 2660 miles in 7 days. Your average speed was 380 miles per day.
ttf 380
Writing and Using a Linear FunctionWriting and Using a Linear Function
b. Use the model to find the distance traveled after 1.5 days of travel.
5.13805.1 f
5705.1 f
Notes Over 4.8
