Independent/Dependent
Identify the independent and dependent variables:
amount of calories burned and the number of minutes exercising
Independent: Number of minutes exercising
Dependent: amount of calories burned
Identify the function family:
y = mx + b
Linear
What are some of the different ways to describe the graph of a function? The more you guess correctly, the more points you get.
Increasing/Decreasing/Constant
Straight/Curvy
Absolute Max/Min
Symmetrical
Discrete/Continuous
Which variable is associated with Range? Domain?
Range = y
Domain = x
What is the name of the test used to determine if a relation is a function or not by drawing a line through the graph?
Vertical Line Test
Identify the independent and dependent variables:
If I drink redbull then I will be able to fly because redbull gives people wings.
Independent: Drinking redbull
Dependent: Flying
Identify the function family:
f(x) = 2x - 7
Exponential
What is the highest or lowest y-value called on the graph of a function?
Absolute Max or Min
What is the domain of the following points:
(-1, 4), (0, 5), (2, 4), (2.5, 5), (3, 4)
[-1, 0, 2, 2.5, 3]
Is this a function?
(2, 1), (3, 1), (4, 1), (5, 1), (6, 1)
Yes, there are no repeating x-values
Which variable changes the other?
Independent changes dependent.
Identify the function family:
Multiple equations with parameters
Linear Piecewise
What is the difference between continuous versus discrete?
Continuous: Lines
Discrete: Dots
What is the domain and range the linear function y = x
Range and Domain: negative infinite to positive infinite
Is this scenario a function?
Student to ID number
Yes, a function
What does the acronym DIXI ROYD stand for?
Domain Range
Input Output
X-values Y-values
Independent Dependent
Give an example of a quadratic equation
Example: f(x) = x2 - 5
Must include x2
What functions families would you use the word symmetry as a descriptor?
Absolute value and quadratic
What is the range of the image?
What is the domain?
Range: -4 to 3
Domain: -3 to 3
What is a line of symmetry?
A line of symmetry is an imaginary line that passes through a shape or object and divides it into two identical halves.
What are the independent and dependent variables?
A comprehension test was given to students after they had studied textbook material either in silence or with the television turned on.
Independent: Studying with or without TV
Dependent: Achievement on a test
Give an example for an absolute value equation
Example: y = 3|x - 3|
Must include |x|
This graph is straight lines, increasing and decreasing with no absolute max or min. Which family function could be described here?
Linear Piecewise
Draw the graph based on the given range and domain:
domain: 1, 2, 3, 4, 5, 6
range: 5
A straight horizontal line running through y = 5
What is a function?
A function is a relation that assigns to each element of the domain exactly one element of the range.