Function Notation/Function Arithmetic – Notes Name ______________________________________________ note: fxn is shorthand for function day F.1 • function notation 𝑓 # lesson • find 𝑥 −values 𝑓 𝑥 = # • function arithmetic F.1N – Function Notation & Function Arithmetic – 𝒇(#) Function Notation • 𝑓 𝑥 = 𝑔 𝑥 = ℎ 𝑥 = Rewrite 𝑦 = 2𝑥 ! − 5𝑥 + 3 in function notation three • you can use any different ways. letter except that which is used as a _______________________________________ variable • same as 𝑦 = _______________________________________ • 𝑓 𝑥 = 5𝑥 + 3 is the same as _______________________________________ 𝑦 = 5𝑥 + 3 If 𝑓 𝑥 = 2𝑥 − 5, what is 𝑓(3)? write 𝑓(3) replace each x with 3 • substitute given # simplify into each x in expression function/equation 𝑓(3) = If 𝒇 𝒙 = 𝟐𝟓𝒙 + 𝟖, find the following: Problem Work Answer Problem Work Answer 𝑓(𝑥) 𝑓(#)
use proper notation 𝑓(4) 𝑓 −3 7
𝑓( ) 5
use proper notation
𝑓(0) 4
𝑓( ) 3
*create your own* © Ms. Harris’ Math Class msharrismathclass.com 1 Finding 𝒙 − Values For the function 𝑓 𝑥 = 4𝑥 + 3, find the value of 𝑓 𝑥 = −21. • rewrite fxn by rewrite fxn substituting 𝑓
(𝑥) for its given value substitute 𝑓(𝑥) f
or −
21 solve for 𝑥 For the function 𝒌 𝒙 = −𝟑𝒙 + 𝟏, find the value of 𝒙 for the following: Problem Work Answer Problem Work Answer 𝑘 𝑥 = −14 𝑘 𝑥 = 25 *create y
our 𝑘 𝑥 = −3 own* 𝑓 𝑥 =#
*Prerequisite Review* Simply the following.
(4𝑥 + 3)(5𝑥 − 1)
19𝑥 − 4𝑥 ! + 9𝑥 ! − 20𝑥 + 8𝑥 !
(9𝑥)!
Function Arithmetic If 𝒇 𝒙 = 𝟐𝒙 + 𝟓, 𝒈 𝒙 = 𝟐𝒙𝟐 − 𝟑𝒙, 𝒉 𝒙 = 𝟒𝒙, find the following: Problem 𝑓 𝑥 + 𝑔(𝑥) ℎ 𝑥 − 𝑓(𝑥) Work Answer 3𝑥 − (5𝑥 + 3)
𝑓(𝑥) • 𝑔(𝑥) © Ms. Harris’ Math Class msharrismathclass.com 2 If 𝒇 𝒙 = 𝟐𝒙 + 𝟓, 𝒈 𝒙 = 𝟐𝒙𝟐 − 𝟑𝒙, 𝒉 𝒙 = 𝟒𝒙, find the following: Problem 𝑓 𝑥 − 𝑔(𝑥) [𝑓 𝑥 ]! Work Answer *Exit Ticket*
1) Evaluate 𝑗 𝑥 = 3𝑥 − 8 for 𝑗 −7 . 𝑎) − 45 𝑏) − 29 𝑐) 13 𝑑) 29 𝑒) − 13 3) For the function 𝑗 𝑥 = 3𝑥 − 8, find the value of 𝑥 so that 𝑗 𝑥 = 67. 𝑔(𝑥)
𝑓(𝑥)
2) If 𝑓 𝑥 = 8𝑥 − 1 and ℎ 𝑥 = 5𝑥, find ℎ 𝑥 • 𝑓(𝑥). 4) If 𝑓 𝑥 = 8𝑥 − 1 and ℎ 𝑥 = 5𝑥, find [ℎ 𝑥 ]! . © Ms. Harris’ Math Class msharrismathclass.com 3 © Ms. Harris’ Math Class msharrismathclass.com 4 © Ms. Harris’ Math Class msharrismathclass.com 5 © Ms. Harris’ Math Class msharrismathclass.com 6 

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