Day 1-Functions
When x does not repeat
What is a function?
The ways to write a domain or range
What is set builder notation and interval notation?
Types of symmetry
What is symmetry with respect to the x-axis, y-axis, and origin?
A function that has no holes or breaks in its graph
What is a continuous function?
When two points has a positive change
What is an increasing function?
The ways to determine whether or not an equation is a function
What is vertical line test and solving for y?
Input, x value
What is domain?
Odd functions
What are functions that are symmetric with the origin?
The types of discontinuity
What are removable, jump, and infinite?
From point (-2,4) to (2,1), increasing or decreasing
What is decreasing?
Function or not, 4x+2y+6
Yes
True or false: The denominator can equal 0
False
What is a function that is symmetric to the y-axis?
f(x)=(x+3)/(x-2), does f(2) exist?
No
f(x)=x2+2x+5
Max:
Min:
Intercept(s):
Increasing:
Decreasing:
Max: No max
Min: 4 at -1
Intercept(s): y=5
Increasing: (-1, ∞)
Decreasing: (-∞, -1)
x | y
9 | 3
8 |-3
4 | 2
4 |-2
2 | 1
1 |-1
1 | 0
√x+3, find domain
What is -3, ∞ or {x: x E ∞; x ≥ 3}?
f(x)=x2+x
What is neither?
Describes how a function behaves at either end of the graph
What is end behavior?
f(x)=-x3-4x2+3
Max:
Min:
Intercept(s):
Increasing:
Decreasing:
Max: -1 at 3
Min: -6 at -6
Intercept(s): (0,4), (0,1), (0,-1) y=3
Increasing: (-6,0)
Decreasing: (-∞, -6) (0,∞)
4 ways relations are represented
What are verbally, numerically, graphically, and algebraically?
F(x)
What is y?
f(x)=x3-x
What is odd?
Fill in graph
x:y
-100:y
-150:y
-200:y
As x --> ___, the function f(x) --> ___
x:y
-100:-1.05
-150:-1.03
-200:-1.025
As x --> ∞ and -∞, the function f(x) -->-1
h(t)=5t3-38t2+28t+189, what is the starting point for the bungee jumper
What is 189?