Sec 3 3 Function Notation Function Notation Any

Sec 3. 3 Function Notation

Function Notation - Any linear function can be written in the form f(x) = mx + b f(x) does NOT mean “f times x” f(x) is read as “f of x” f(x) means the same as y Ex #1: Find f(– 4), f(0), and f(3) for the function: f(x) = 2 x + 7 f(– 4 ) means to input – 4 for x in the function f(x) = 2 x + 7 f(– 4) = 2(– 4) + 7 = – 8 + 7 = – 1 f(– 4) = – 1 f(x) = 2 x + 7 f(0) = 2(0) + 7 =0+7 =7 f(0) = 7 f(x) = 2 x + 7 f(3) = 2(3) + 7 =6+7 = 13 f(3) = 13

Interpreting Function Notation Ex #2 Let f(x) be the outside temperature (o. F) x hours after 6: 00 am. Explain the meaning of each statement. a) f(0) b) f(6) = n c) f(3) < f(6) The temperature at 6: 00 am at noon is n o. F at 9: 00 am is colder than the temperature at noon.

Using Function Notation to Solve and Graph Ex #3 Using the function , find the value of x when h(x) = – 7. f ( x) =2 x+ 5 Ex #4 Graph

Ex #5 The graph below 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 further and increases its speed by 25 mph. The function f(x) = 350 – 125 x 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? Distance (miles) First Flight Hours Find out how long it takes the second flight to get to its destination by using f(x) = 0 The second flight takes less time (2. 8 hours compared to 3 hours)