Relations & Functions
What is the domain of this relation?
(4,0), (1,-1), (3,6), (-5,-1), (4,6)
D: {-5, 1, 3, 4}
Slope is often described as _______ over _______.
RISE over RUN
Graph the line y = 3x - 6
Graph 1
Write the equation of a line with slope = 4 and y-int = (0, -3)
y = 4x - 3
Find f(4)
f(4) = -7
What is the range of this relation?
(4,0), (1,-1), (3,6), (-5,-1), (4,6)
R: {-1, 0, 6}
m = 4/5
Graph the line y = -3/4x + 5
Graph 2
What is the slope and y-int of y = 1/5x + 8
Slope = 1/5
y-int = (0, 8)
Find f(-2)
f(-2) = 9
Is this relation a function?
(4,0), (1,-1), (3,6), (-5,-1), (4,6)
No: 4 has more than one output
Find the slope between (6, 1) and (2, 9).
m = -2
Graph the line 2x + 3y = 9
Graph 3
Write an equation of a line with slope = 2 and goes through (5, -3)
y = 2x - 13
Find f(1)
f(1) = 6
For f(x)=x2-2x+3, calculate f(5).
f(5)=18
What is the slope of a horizontal line?
m = 0
Graph the line y = 4x
Graph 4
Write an equation of a line with slope = -4 and goes through (-7, 0)
y = -4x - 28
What type of correlation do these have: the amount of hours worked and money earned
Positive correlation
For f(x)=x2-2x+3, calculate f(-3).
f(-3)=18
What is the slope of a vertical line?
m is undefined
Graph the line x = -5
Graph 5
Write the equation of a line with undefined slope and goes through (9, 3)
x = 9
What type of correlation do these have: outdoor temperature and the heating bill
Negative correlation