Relation and Function Rules
4-2, 4-4
Graphs and Tables
4-1, 4-3
Direct Variation
4-5
Inverse Variation
4-6
Inductive and Deductive Reasoning
4-7
100
Find the Domain and Range - Is this a function {(5,0),(0,5),(5,1),(1,5)}
Domain:0,1,5 Range:0,1,5 Not a function
100
What Quadrent is (6,-2) in?
Quadrent II
100
y + 8 = -x
y = -8 - x
100
Write an equation for the inverse variation y = 6 when x = 3
xy = 18
100
Using inductive reasoning, what are the next two numbers? 4,6,9,13...
18 and 24 (add 1 more number than was added in the previous number)
200
Find the Domain and Range - Is this a function {(3,-1),(-2,3),(-1,-5),(3,2)}
Domain: -2,3,-.5,4 Range: -1,3,-5,2 Not a Function
200
Name the point and Quadrent of letter B
(3,1) Quadrent I
200
-4 + 7x + 4 = 3y
y = 7\3x
200
Find the missing value for the points (3,8) and (2,y)
y = 12
200
Using Inductive reasoning, what are the next two numbers? 2,8,32,128...
512 and 2,048 (multiply by 4)
300
Find the Domain and Range - Is it a function {(-2,9),(3,6),(-0.5,9),(4,9)}
Domain: -2,3,-0.5,4 Range: 9 Is a function
300
Graph the point (-3,-5)
We'll check that for you
300
Write an equation with these points (-6,1)
y = -1\6x
300
If you took a 2 1/2 hour drive to a lake at 48 mi/h, how long will your return trip take at 40 mi/h?
3 hours
300
Explain whether this situation is inductive or deductive reasoning. A number pattern contains numbers that keep increasing by 3. You find the next number by adding 3 to the previous number.
Inductive - based on a pattern
400
What id the function rule? x y 1 0.5 2 1 3 1.5 4 2
y = x\2
400
Evaluate f(x) = -3x - 10 for x = 6
f(6) = -28
400
Does y vary directly with x... if so write an equation x y -2 1 3 6 8 11
no
400
Is this data table direct or inverse variation? Write an equation. x y 4 15 6 10 10 6
inverse variation xy = 60
400
Explain whether the situation is inductive or deductive reasoning. The measures of two angles of a triangle are 30 degrees and 55 degrees. Since there are 180 degrees in a triangle, you conclude that the measure of the 3rd angle is 95 degrees.
Deductive - based on law
500
What is the function rule? x y -1 1 -2 8 -3 27 -4 64
y = -x^3
500
Graph f(x) = 3\4x + 7 Find the Domain and Range
Domain: all real numbers Range: all real numbers We will check your graph
500
Is this statement true or false? Explain The graph of a direct variation may pass through (0,3)
False - the line through (0,3) and (0,0) is vertical and is not a function which is therefore not direct variation
500
You buy some Jasmine Rice for $1.79/lb, is this direct or inverse variation? Explain
Direct Variation - The ratio is constant
500
Inductive or Deductive? A graph shows time spent on homework versus grade level. Based on the linear distribution of the data points, you conclude that the higher the grade level, the more time students spent on their homework.
Inductive - based on a pattern