Functions
Linear Functions
Domain and Range
Finding Slope and Equations
Transforming Functions
100
A rule that defines a relationship between an independent (x) variable and dependent (y) variable
What is a function?
100
Find the equation of this linear function
What is y = (-1/3)x + 5?
100
The input or x of the function machine
What is the DOMAIN?
100
The variable that represents the rate of change (slope) in a linear equation
What is the variable m?
100
A vertical translation of 3
f(x) = 2x + 4
g(x)=?
What is g(x) = 2x + 7?
200
Does this table represent a function? Remember, each input (x) only has one output (y).
Yes, it's a function!
200
Find the equation of this linear function.
What is y = 4x + 6?
200
The output or y of the function machine
What is the RANGE?
200
The slope of the line that passes through the points (-8,-6) and (4,3)
What is
+3/4
200
A horizontal stretch of 1/2
f(x) = 2x + 3
g(x) = ?
What is g(x) = x + 3?
300
Does this graph represent a function? Remember, each input (x) only has one output (y).
Yes, it's a function!
300
A way to test a function on a graph
What is The Vertical Line Test
300
The number of outputs for every input
What is one?
300
A line has a slope of 3 and goes through the point (0,6). A linear equation that represents this is...
What is y = 3x +6?
300
Describe the transformation:
f(x) = 2x + 3
g(x) = - 2x - 3
What is a reflection over the x axis?
400
Does this mapping (arrow) diagram represent a function? Remember, each input (x) only has one output (y).
Yes, it's a function!
400
Does this graph represent a linear function?Remember, each input (x) only has one output (y).
Yes, it's a linear function! (it passes the vertical line test)
400
The domain portion of the following table:
x: -3, -1, 1, 3
y: 0, 4, 8, 12
What is {-3, -1, 1, 3}?
400
Find the linear equation for a line that runs through the points (3, 11) and (0, 7)
What is y = (3/4)x + 7?
400
Describe the transformation:
f(x) = 2x + 3
g(x) = 4x + 3
What is a horizontal compression with a scale factor of 2?
500
(-1, 3), (0, 2), (1, 1), (2, 0), (0, 3)
Does this set of ordered pairs represent a function? Remember, each input (x) only has one output (y).
No, it's not a function! (There are repeated inputs)
500
Does this table represent a function? Remember, each input (x) only has one output (y).
Yes, it's a linear function!
500
The range portion of the following table:
x: -7, 4, 18
y: -5, 3, 11
What is {-5, 3, 11}?
500
The starting fee at a sports gym is $50 and every class costs $10. What is the total cost after 12 classes?
The linear equation is y = 10x + 50
After 12 classes, y = 10(12) + 50= $170
What is $170?
500
Describe the transformation:
f(x) = 2x + 3
g(x) = 4x + 7
What is a horizontal compression with a scale factor of 2 AND vertical translation of 4?