Function Notation

3.3 Function Notation

3.3 Review

• y and f(x) are the same- f(x) tells us the equation is a function

• f(x) is read as "f of x"

• Opposite of 3.1- we know these are functions, now we're looking for inputs (x) or outputs (y)

• We can evaluate functions when we're given x (input) or f(x) (output)

• We can also use graphs, tables, and coordinate pairs to find x or f(x) when given the input or output

Questions on 3.3 Practice

Open Ended

$$f\left(x\right)=7x$$  , find f(6)

Open Ended

$$h\left(x\right)=-4x+8$$  , find h(12)

Open Ended

$$f\left(x\right)=6x+8$$  , find x when f(x)=32

Open Ended

$$g\left(x\right)=-9x$$  
$$h\left(x\right)=2x+13$$  

Find h(4) - g(13)

Open Ended

Use the coordinate pairs to find:

*f(5)

*x when f(x)=8

(-3, 5), (-1, 8), (1, 7), (3, 11), (5, 3), (7, 4), (9, 14)

Open Ended

$$f\left(n\right)=6n+5$$  ,find f(n+1)

Open Ended

$$f\left(a\right)=8a-5$$  find f(-4)

Open Ended

$$g\left(c\right)=7c+11$$  ,find c when g(c)=60

Open Ended

$$g\left(n\right)=3n+1$$  
$$f\left(n\right)=-5n+3$$  

Find g(4) - f(-2)