Functions
An input must produce this
What is output
Domain for {(0,1), (1,1), (2,1)}
{0,1,2}
Range for {(0,1),(1,3),(3,5)}
{1,3,5}
value of x if 2x+3=7
x=2
Plotting points on a coordinate plan is called this
Graphing
In the function notation f(x), x represents this
What is input
Definition for Domain
The set of all inputs
Definition for range
The set of all outputs
value of x is x^2 = 36
+/-6
We can use these to graph/model real-life scenarios
Functions
Function rule for multiplying by 5 and adding 15
What is f(x) = 5x + 15
Domain for {(0,1),(0,2),(0,3)(0,4)}
{0}
Range for {(0,5),(2,5),(3,5),(4,5)}
{5}
Combining Like-terms for 5x+5x+x^2+3+6-3x
x^2+7x+9
When something is unknown or changes constantly we call it this
Variable
Solution to, f(x) = x^2 + 5x when x is -4
What is -4
Domain for f(x) = 2
Range of f(x)= 2
{2}
The y-intercept for y=−2x+5
(0,5)
1,1,2,3,5,8,13,21...
Fibonnaci Sequence
x^2, sqrt(x), x, |x|, x^3 are examples of what
Parent Functions
Domain for f(x) = x
All Real Numbers
Range for f(x) = x
x^3+x^2+3x when x is -2
-10
Name of a Theoretical Hotel with infinite space
Hilbert's Hotel