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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.
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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) = 2x + 7 f(–4 ) means to input –4 for x in the function f(x) = 2x + 7 f(x) = 2x + 7 f(–4) = 2(–4) + 7 = –8 + 7 = –1 f(–4) = –1 f(x) = 2x + 7 f(0) = 2(0) + 7 = 0 + 7 = 7 f(0) = 7 f(x) = 2x + 7 f(3) = 2(3) + 7 = 6 + 7 = 13 f(3) = 13
Interpreting Function Notation Ex #2 Let f(x) be the outside temperature (oF) xhours after 6:00 am. Explain the meaning of each statement. a) f(0) The temperature at 6:00 am b) f(6) = n The temperature at noon is noF c) f(3) <f(6) The temperature 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. Ex #4 Graph f(x) = 2x +5
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 – 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? Find out how long it takes the second flight to get to its destination by using f(x) = First Flight 0 Distance (miles) The second flight takes less time (2.8 hours compared to 3 hours) Hours