Function Notation 3102.3.25 Find function values using f(x) notation or graphs.

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Function Notation Find function values using f(x) notation or graphs.

What is function notation? Function notation is another way to write “y=“ The notation looks like this:f(x) f(x) is read “f of x”

Solving Problems with Function Notation f(x) = 2x + 5, find f(5) f(5) = 2(5) + 5Plug in 5 in place of x f(5) = Simplify f(5) = 15Simplify This also means that when x = 5, y = 15 (5,15)

Try this problem f(x) = -3x + 5, find f(-2) f( -2 ) = -3( -2 ) + 5 f( -2 ) = f( -2 ) = 11

Other forms of Pythagorean Theorem Function notation is also expressed as: g(x), h(x), or s(t) They are all used in place of “y=“ and you may see them in other places!

Two Functions at One Time f(x) = 6x + 3 g(x) = 2x – 4 Find the following: 1. f(4)2. g(-1) 3. g(3)4. f(0) Click here to: See this problem worked Click here to: See this problem worked Click here to: See this problem worked Click here to: See this problem worked

Problem #1 f(x) = 6x + 3, find f(4) f(4) = 6(4) + 3 f(4) = f(4) = 27

Problem # 2 g(x) = 2x – 4, find g(-1) g(-1) = 2(-1) – 4 g(-1) = -2 – 4 g(-1) = - 6

Problem # 3 g(x) = 2x – 4, find g(3) g(3) = 2(3) – 4 g(3) = 6 – 4 g(3) = 2

Problem # 4 f(x) = 6x + 3, find f(0) f(0) = 6(0) + 3 f(0) = f(0) = 3