Function Notation
A function that is written as an equation can also be written in a form called function notation
Equation
Function Notation
y = 2x + 3
f(x) = 2x + 3
Finding a Function Value
If f(x) = 4x ‐ 7, find each function value.
a) f(3)
b) f(0)
c) f(‐5)
Finding a Function Value
If f(x) = 3x2 ‐ 5x + 1, find each function value.
a) f(‐5)
b) f(2)
c) f(‐3)
Finding a Function Value
If the domain is {‐3, ‐2, 5}, find the range given f(x)= 3x3 ‐ 12x.
Finding a Function Value
Given the range is ‐3, find the domain if f(x) = 2x ‐ 9.
Finding a Function Value
Given the range is 2, find the domain if f(x) = ‐6x + 8
Function Notation ­ Applications
Mariah spent $22.50 downloading songs to her iPod for $0.90 each.
a. Use function notation to write a function that gives the total cost as a function of the number of songs purchased.
b. Use the function to determine the number of songs that Mariah downloaded. Function Notation ­ Applications
A whale‐watching boat traveled at a speed of 5.5 mph.
a. Use function notation to write a function that gives the total distance traveled as a function of the time in hours spent whale watching.
b. Use the function to find how long it took to travel 25 miles.
You Try!!!