Is it a function?
Is it linear?
Comparing Functions
Generalize It
Random
100
Consider the arrow diagram. Does the relation shown represent a function?
No, there is an x value with more than one output. The number 10 goes to both 42 and 76.
100
Consider the graph. Is the function shown linear or nonlinear?
Consider the equation y=2x+5. Does it represent a linear or nonlinear function?
The function is linear.
100
Which function has the greater slope?
Function B has the greater slope.
100
List three different ways a function can be represented.
- Equations
- Mapping Diagram
- x/y table
- Graphs
- Description
100
Where is Spider-Man from?
Queens
200
Consider the table. Is the relation shown representative of a function?
Yes, each x value is matched with exactly one y value. None of the x's repeat.
200
Consider the equation y=3x2. Does it represent a linear or nonlinear function?
It represents a nonlinear function.
200
Which function has the greater initial value?
Function B has the greater initial value.
200
When is a relation a function?
A relation is a function if each input corresponds to exactly one output.
200
What name is "Barbie" short for?
Barbara
300
Consider the ordered pairs. Does the relation shown represent a function?
(-2,2), (-7,1), (-3,9), (3,4), (-9,5), (-6,8)
Yes, each x value is matched with exactly one y value. None of the x's repeat.
300
Consider the equation y=4x+3. Does it represent a linear or nonlinear function?
It represents a linear function.
300
Which function has the greater rate of change?
Function B has the greater rate of change.
300
When is a function linear?
A function is linear if it has a constant rate of change.
We can also say that a function is linear if its graph is a straight line, or if it has an equation of the form y=mx+b.
300
In Tom & Jerry, who is the mouse and who is the cat?
Tom is the cat. Jerry is the mouse.
400
Consider the graph. Is the relation shown a function?
No, it does not pass the vertical line test. You can draw several vertical lines that intersect the relation at more than one point.
400
Consider the graph. Is the function shown linear or nonlinear?
The function is nonlinear.
400
Which function has the greatest rate of change?
Function C has the greatest rate of change.
400
What are the two properties that we use to compare linear functions?
The slope (rate of change) and the y-intercept (initial value).
400
Who's that Pokémon?
Mewtwo
500
Consider the graph. Is the relation shown a function?
Yes, it passes the vertical line test. No matter where you draw a vertical line, it will only pass through the relation at one point.
500
Consider the table below. Does it represent a linear or nonlinear function?
It represents a nonlinear function.
500
Which function has the greater rate of change?
Function B has the greater rate of change.
500
When we talk about how "steep" a line is, what are we referring to? How does this relate to "steepness"?
The slope. The closer the slope is to 0, the less "steep" the line is.
500
What movie has a soundtrack featuring "Mr. Blue Sky", and "My Sweet Lord"?
Guardians of the Galaxy Vol. II