Functions
Linear Functions
Linear or Non-Linear Functions
Functions
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
A function whose equation has an exponent on the x, linear or non-linear?
What is non-linear?
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 type of data if the inputs are the number of books,
continuous or discrete.
What is discrete?
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
Name of a function that has a graph that looks like a V,
Quadratic, Absolute Value, Linear and Exponential
What is absolute value?
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
The inputs or x values? The outputs or y values?
What is domain? What is range?
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
What is the linear equation for a line that runs through the points (3, 11) and (0, 7)?
It is y = (3/4)x + 7
400
What is the linear equation for a line that runs through the points (0, -1) and (9, 5)?
The linear equation is y = (-3/2)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
The name of a function that has an equation y=2x2+6,
quadratic, absolute value, linear or exponential
What is quadratic?
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?