3-1
A relationship between input and output where each input is assigned to exactly one output is called this.
What is a function?
This is the y-value where a linear function intersects the y-axis, often compared between two functions.
What is the y-intercept?
A linear function can be represented by an equation in this form, where m is the slope and b is the y-intercept
What is y=mx+b?
On a graph, if the line is increasing from left to right, the function shows this type of relationship between the two quantities.
What is a positive or increasing relationship?
This largest ocean on Earth covers more surface area than all of the continents combined
What is the Pacific Ocean?
If a graph of a relationship passes this test, it shows that the relationship is a function. (Hint: I demonstrated this test on the board with the yard stick.)
What is the vertical line test?
If Function A has a higher rate of change than Function B, which function grows faster?
What is Function A?
If the slope of a linear function is negative, the graph of the function will slant in this direction.
What is downwards (or to the right)?
In a function that models the relationship between hours studied and test scores, the independent variable represents this.
What is the number of hours studied?
The author of Harry Potter is this famous British writer.
Who is J.K. Rowling?
Do the following coordinate points represent a function: (-2,2) (-7,1) (-3, 9) (3,4) (-9,5) (-6,8)?
What is yes?
What is another word more commonly used than Rate of Change?
What is slope?
The slope of a linear function can be calculated by dividing the change in y-values by the change in these values.
What are the x-values (or the change in x)?
The y-intercept of a function modeling a person's bank balance over time could represent this.
What is the starting bank balance?
This famous theorem, stating that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, is named after this ancient Greek mathematician.
What is the Pythagorean theorem (named after Pythagoras)?
Is the following a function: (3,3) (4,5) (5,7) (5,9) (6,11)?
What is no?
A graph that represents a linear function will always have this shape.
What is a straight line?
If you know that a function passes through the points (2, 5) and (4, 9), you can calculate the slope of this line. What is the slope?
What is 2?
A graph of a function where the slope alternates between increasing and decreasing shows this kind of relationship between the two quantities.
What is a non-linear or varying relationship?
The Pittsburgh Steelers play this old rival on Sunday Night football this week.
What is the Dallas Cowboys?
Is the following relationship a function: (2,3) (3,3) (4,3) (5,3) (6,3)?
What is yes?
A table where the rate of change between x and y is constant represents this type of function.
What is a linear function?
A quadratic function, such as y=x2, is an example of this type of function.
What is a non-linear function?
!!!DAILY DOUBLE!!!
Find the slope of the line and the y-intercept and write your answer in slope intercept form, from these two coordinate points: (3,5) (9,17)
what is y=2x-1?
This musical instrument, the largest in the brass family, produces the lowest pitch.
What is the tuba?