| Inverse Functions and Trigonometry | Word Problems/Graphs | Equations | Domain and Range | Other |
|---|---|---|---|---|
|
π/3
What is the arcsin (√3/2)? (without a calculator)
|
Write on the board: should be a negatively sloped line at y-intercept 3 with a slope of 1.
Illustrate the graph of y = 3 - x
|
y = 3/2x + 1
Find the equation of the line that passes through (5/8, 31/16) and (-5/7, 13/14).
|
[-1, infinity)
Find the domain of the graph of y = sqrt(x +1)
|
odd
Is a sin function even or odd?
|
|
(0, ∞)
What is the domain of the function f(x) = 9ln 13x?
|
Write on the board: It should be a "v" shaped graph opening upwards with a vertex at (2,0) and a y-intercept at (0,2)
Sketch the graph of y = the absolute value of x+2
|
15
Evaluate the function f(x) = -3x + 10 if x =1.
|
[0, infinity)
Find the range of the graph of y = sqrt(x +1)
|
even
Is a cos function even or odd?
|
|
x = (π + cos(1/2))/7
solve for x: arccos(7x - π) = 1/2
|
91 meters
A moving conveyor belt is built to rise 1 meer for every 9 meters of horizontal change. Suppose the conveyor belt runs between two floors in a factory. Find the length of the conveyor belt if the vertical distance between the two floors is 10 meters.
|
even
Tell whether the function is even or odd, f(x) = xsin(2x)
|
Domain: all reals
Range: [0,infinity)
Find the domain and range of the equation x^2 + 6x + 9
|
1/2
Sine of 30 degrees?
|
|
A negatively sloped linear equation crossing through the same x-intercept.
Given a positively sloped graph of a linear equation, what would it's inverse look like?
|
Sketch on the board: should be linear
Find the graph with a slope of 5 and a y-intercept of 0.
|
It is shifted left two units
Given the graph y = f(x), explain how the graph f(x+2) is different.
|
Domain: (-infinity, 0)U(0, infinity)
Find the domain for the equation y = (x+2)/x
|
-1/2
Cos of 3π/2?
|
|
f^-1(x) = 1/11x - 5/11
Find the f^-1(x) if f(x) =11x - 5
|
Write on the board
What is the graph of the equation y = x^2 + 6x + 9
|
x-intercepts: (1,0), (-2,0), and (2,0) and y-intercepts: (0,-2)
Find all intercepts: y = (x-1)(sqrt(4-x^2))
|
All reals
Find the range for the equation y = (x+2)/x
|
-sqrt(3)/2
Cos of 7π/6?
|
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