1. Daily Warm Up Evaluate 3y= 4x-5 where x = -3
Which of the following equations is a linear function
7y-10 = x b) c)

2. Function Notation Notes 3.3
Goals:
Use function notation to evaluate and interpret functions (day 1)
Use function notation to solve and graph functions. (day 2)
Solve real-life problems using function notation. (day 3)

3. Function Notation Function Notation renames “y”as f(x)
RECALL: All Linear Equations can be written in y = mx+b form
Function Notation renames “y”as f(x)
where x is the input & f(x) is the ouput

4. Function Notation So instead of writing y = mx + b
Function Notation looks like f(x) = mx + b
Use f, g, or h to notate a function:
f(x) or g(x) or h(x)

5. Example 1
Evaluate f(x) = –4x + 7 when x = 2 & x = –2

6. Example 2
Let f(t) be the outside temperature (°F) t hours after 6 A.M. Explain the meaning of each statement
f(0) = 58
f(6) = n
f(3) < f(9)

7. You Try 1. Evaluate the function when x = -4, 0, & 3
a) f(x) = 2x – b) g(x) = –x –1
2. Let g(t) be the outside temperature (°C) t hours after 9 A.M. Explain the meaning of each statement.
a) g(4) = b) g(m) = c) g(2) = g(9) d) g(6) > g(0)

8. end of day 1

9. Daily Warm Up Evaluate h(x) = 4x-5 where x = 0,1,2,-4,-6.
Evaluate f(x) = -x+10 where x= -3, 0, 1, 2,3

10. Function Notation Notes 3.3
Goals:
Use function notation to evaluate and interpret functions (yesterday)
Use function notation to solve and graph functions. (today)
Solve real-life problems using function notation. (tomorrow)

11. Example 3
For , find the value of x for which h(x) = –7.

12. Example 4
Graph f(x) = 2x + 5
table method x
f(x)
(x, f(x))

13. You Try Find the value of x. f(x) = 6x + 9; f(x) = 21 ; g(x)= –1
Graph the linear function
g(x) = 3x-2

14. end of day 2

15. Daily Warm Up
1. Graph h(x) = -3x + 7
table method x
f(x)
(x, f(x))

16. Function Notation Notes 3.3
Goals:
Use function notation to evaluate and interpret functions (yesterday)
Use function notation to solve and graph functions. (today)
Solve real-life problems using function notation. (tomorrow)

17. Example 5
The graph shows the number of miles a helicopter is from its destination after x hours on its first flight. On its second flight, the helicopter travels 50 miles farther and increases its speed by 25 miles per hour. The function f(x)= 350 – 125x represents the second flight, where f(x) is the number of miles the helicopter is from its destination after x hours. Which flight takes less time? Explain.

18. You Try
Let f(x) = 250 – 75x represent the second flight, where f(x) is the number of miles the helicopter is from its destination after x hours. Which flight takes less time? Explain.

19. end of day 3