Functions
Linear Functions
Linear or Non-Linear Functions
8th Grade Knowledge
Writing Linear Equations #2
Math Terms
100
Each input is assigned exactly one output.
What is a function?
100
What is the equation of this linear function?
It is y = (-1/3)x + 5
100
Does this graph represent a linear function?
Yes, it's a linear function!
100
The name of three periods placed in a row that replaces cut out text.
What is an ellipses?
100
In a slope-intercept form, which variable represents the initial/starting value?
The variable b.
100
The direction and steepness of a line.
What is slope?
200
Does this table represent a function?
Yes, it's a function!
200
What is the equation of this linear function?
It is y = 4x + 6.
200
No, it's a non-linear function!
200
The Fifth Amendment grants you this right.
What is the Right to Remain Silent.
200
Tara wants to rent a tent for an outdoor celebration. One company charges a $100 set-up fee and $350 per hour to rent their tent. What is the linear equation that represents this situation?
The linear equation is y = 350x + 100.
200
A line with a slope = 0
A horizontal line
300
Does this graph represent a function?
Yes, it's a function!
300
What test is used to determine if a graph is a function or not?
The Vertical Line Test
300
Without a graph, how do you determine if a function is linear or non-linear?
Calculate rate of change (or slope).
300
In investigative journalism, this is the point of view that writers should write from.
What is Third person - or an objective point of view - or no "I"s ?
300
A line has a slope of -5 and goes through the point (0,-3). What is the linear equation that represents this line?
The linear equation is y = - 5x - 3.
300
Rate of change
What is a slope?
400
What is the linear equation for a line that runs through the points (3, 11) and (0, 7)?
It is y = (4/3)x + 7
400
Which linear function has the greater rate of change? What is the rate of change for each panda?
The table has a greater rate of change. Mochi has a rate of change of 4 lbs/week. Kappa has a rate of change of 3 lbs/week.
400
Does this table represent a linear function?
No, it's a non-linear function!
400
These 4 four words make the acronym: M.A.I.N.
Militarism, Alliances, Imperialism, Nationalism
400
What is the linear equation for a line that runs through the points (0, -1) and (9, 5)?
The linear equation is y = (2/3)x - 1.
400
Linear or Non-linear and why. y = 3/x + 6
What is non-linear? x is in the denominator
500
(-1, 3), (0, 2), (1, 1), (2, 0), (0, 3)
Does this set of ordered pairs represent a function?
No, it's not a function!
500
Which linear function has a greater initial value? What is the initial value for each panda?
The graph has a greater initial value. Mochi has an initial value of 1 lb. Kappa has an initial value of 2 lbs.
500
Does this table represent a linear function?
Yes, it's a linear function!
500
This is the cause for animal adaptations, as discussed in Science class.
What are environmental changes?
500
An international food festival charges for admission and for each sample of food. Admission and 3 samples cost $5.75. Admission and 6 samples cost $8.75. What is the slope of the equation? What does the slope represent?
1) The slope = 1
2) Means that each sample of food costs $1.00.
500
A line where the amount of money in the account remains $50.
What is horizontal?