Functions
Characteristics of a Function
Linear Functions
Function Notion
Graphing Linear Equations
100
The set of all possible inputs to a function
What is the domain?
100
The x-intercepts of this function
What are (-4,0) and (4,0)?
100
This kind of function has a graph which is a straight line
What is a linear function
100
The value of the function f(x)=3x+5 when x=-1
What is 2?
100
The linear equation 3x+4y=12 is written in this form
What is the standard form?
200
This test determines whether a graph represents a function
What is the vertical line test?
200
This is the y-intercept.
What is (0,-4)?
200
The form in which any linear function can be written (also called slope-intercept form)
What is
y=mx+b
200
The value of x which makes f(x)=5 when the function
f(x)=2x+1
What is 2?
200
This is the y-intercept of the line y=2x+10
What is 10?
300
The set of all possible function outputs.
What is the range?
300
This equation is linear or nonlinear...
y = 8x -4
What is linear?
300
The function y=3 is this kind of line
What is horizontal line?
300
If f(x) represents the number of miles a plane flies in x hours, then this is what it means to say f(2)=1000
What is "the plane flies 1000 miles in 2 hours"
300
This the slope of the line y=-3x+8 ?
What is -3
400
The reason this relation is not a function:
{ (1,2), (2,3), (3,2), (1,5)}
What is "the input 1 has 2 outputs"?
400
Is this linear or nonlinear...
y = 2x^2 + 5
What is non-linear?
400
The function y=x2-3 is not linear because of this
What is the exponent on x2?
400
A plumber charges $20 to show up at a house, and $50 per hour to fix the sink. This is how much the plumber charges to show up and work for 3 hours.
What is $170?
400
This is the x-intercept of the line 2x+3y=8
What is 4?
500
A circle fails the vertical line test, so it is NOT the graph of one these
What is a function?
500
The first thing you plot to graph y = 3x - 4
What is the y-intercept?
(0,-4)
500
The relation given by
{(0,3), (1,6), (2,9), (3,y)}
is linear when y is this number
What is 12?
500
A woman walking at a constant speed goes from mile 1 of a trail to mile 4 in one hour. This is how long she takes to walk one mile.
What is 20 minutes? (or 1/3 of an hour)
500
This is the slope of the line 4x+2y=-5
What is -2?