Intercepts
Intervals
Minima/Maxima
Domain/Range
Miscellaneous
100
Practice 1: What is the x-intercept and y-intercept?
x-intercept: (0, 0)
y-intercept: (0, 0)
100
Practice 1: What are the increasing and decreasing intervals?
increasing in words: from x = -∞ to x = +∞
interval: (-∞, +∞)
inequality: -∞ < x <+∞
decreasing in words: none
100
Practice 1: What is the minima and maxima?
No relative or absolute minima.
No relative or absolute maxima.
100
Practice 1: What is the domain and range?
Domain: (-∞, ∞) → all real numbers.
Range: (-∞, ∞) → all real numbers.
100
Practice 1: What is the point of symmetry?
The function is symmetric about the origin.
200
Practice 3: What is the x-intercept and y-intercept?
x-intercept: none
y-intercept: (0, 20)
200
Practice 1: What are the positive and negative intervals?
negative interval: from x = -∞ to x = 0
interval: (-∞, 0]
inequality: -∞ < x ≤ 0
positive interval: from x = 0 to x = +∞
interval: [0, +∞)
inequality: 0 ≤ x < +∞
200
Practice 3: What is the minima and maxima?
Absolute Minima: ~1 hour Battery Life.
Relative Minima: none
Absolute Maxima: 20 hour Battery Life.
Relative Maxima: none
200
Practice 3: What is the domain and range?
Domain: [0, 100]
Range: [20, 0]
200
Practice 1: What is the end behavior?
As time → +∞, height → +∞
As time →-∞, height →-∞
300
Practice 3: What are the increasing and decreasing intervals?
increasing in words: none
decreasing in words: from x = 0 to x = +∞
interval: [0, +∞)
inequality: 0 ≤ x <+∞
300
g(t) = sqrt (t - 5)
Practice 3a: What is the domain?
All real numbers greater than or equal to 5.
400
Practice 3: What are the negative and positive intervals?
positive interval: from x = 0 to x = +∞
interval: [0, +∞)
inequality: 0 ≤ x < +∞
negative interval: none
400
g(t) = sqrt (t - 5)
Practice 3a: What is the domain?
All real numbers greater than or equal to 5.