Domain and Range
Functions
Graph Features
Graph Behavior
Ms. Whorton
100
How do you write all real numbers in interval notation and set-builder notation?
Interval (-∞,∞)
Set-Builder: {x|x∈ℝ}
100
A graph passes the horizontal line test. What does that tell you?
It is one-to-one
100
What is the x-intercept and what is the y-intercept?
x=(2,0)
y=(0,3)
100
Fill in the blank statements:
y-values are ____ on the interval x<-2
y-values are ____ on the interval x>-2
y-values are negative on the interval x<-2
y-values are positive on the interval x>-2
100
What is Ms. Whorton's favorite coffee place?
Scooters! Starbucks is okay, but it always has espresso powder in the bottom and it gives me the ick.
200
What is the domain of this table?
The domain is {1,2,3,4,5}
200
Is y=−3+2x linear or nonlinear?
What is linear?
200
What is the relative minimum(s) and relative maximum(s)?
What is?
relative min: (0,1)
relative max:(-1,4),(1,4)
200
Show where the graph increases and decreases:
On x<-2.25 the graph ______.
On -2.25<x<1.25, the graph _______.
On x>1.25, the graph ________.
On x<-2.25 the graph increases.
On -2.25<x<1.25, the graph decreases.
On x>1.25, the graph increases.
200
What is my most irrational fear?
Frogs. they're so nasty and freaky.
300
What is the domain graph in interval notation?
What is (-∞,∞)?
300
Is this function linear or nonlinear: y=3x2
What is nonlinear?
300
What kind of symmetry does this graph have?
What is point-symmetry?
300
What are the intervals where the graph is positive and negative?
x is negative when x<-4
x is positive when x>-4
300
What is Ms. Whorton's astrological sign? Bonus points if you know my B-Day!
Taurus. April 20th
400
What is the domain and range of this graph in interval notation?
Domain: (-∞, ∞)
Range: [0,∞)
400
A graph is a parabola. Is it linear or nonlinear? Is it one-to-one?
What is nonlinear and not one-to-one?
400
Is this function even or odd? f(x)=2x3+x
What is odd?
400
Describe the end behavior of the graph.
as x-> -∞, f(x)-> -∞
as x-> ∞, f(x)-> -∞
400
What is Ms. Whorton's personality type? or if you don't know the 16 personalities, what is ms. whorton's harry potter house?
INFJ or Slytherin(idk i took it and that's what it said but i don't agree.)
500
What is the domain and range of this graph in set builder notation?
Domain: {x|x∈ℝ}
Range: {y|y∈ℝ}
500
Is this function one-to-one?
What is NO?
500
Algebraically prove that this function is even, odd, or neither. f(x)=2x2-x+1
f(-x)=2(-x)2-(-x)+1
f(-x)=2x2+x+1
because f(-x)=/ f(x) and-f(x)
f(x) is neither even nor odd
500
DOUBLE POINTS:
Identify:
- relative maximum/minimum
- increasing intervals
- decreasing intervals
- positive/negative intervals
- end behavior
relative max: (1,8)
relative min: (-2,-4)
increasing: -2<x<1
decreasing: x<-2, and x>2
positive x<-3, -1<x<2,
negative -3<x<-1, and x>2
end behavior:
as x-> -∞, f(x)-> ∞
as x-> ∞, f(x)-> -∞
500
What did Ms. Whorton originally study in college? Bonus points if you know where I originally went (it's niche not a state school)
I studies biology on the pre-med track, minor in Spanish at Saint Louis University. I hated it.