Relations and Functions
What is the Domain of this relation: (0,0), (1,1), (2,2), (3,3)
D: {0,1,2,3}
Decide whether a positive, negative, or no correlation may exist:
Length of Vacation Stay and Expenses
Positive Correlation
How do you find slope of a line from a graph?
Write in slope-intercept form:
4x+2y=-1
y=-2x-1/2
Write an equation that is parallel to this line:
y=-2x+3
Answers vary, slope must be -2
What is the Range of this Relation: (1,1), (-1,1), (2,4), (-2,4)
R: {1,4}
Decide whether a positive, negative, or no correlation may exist:
Eye Color and Birth Month
No Correlation
Find the Slope of the Line that passes between through these pair of points:
(9,17) and (-1,3)
MAKE SURE YOUR ANSWER IS SIMPLIFIED
7/5
Write in Slope-Intercept Form:
6x-2y=14
y=3x-7
Write an equation that is perpendicular to this line:
y=3/4x-3
Answers vary, slope must be -4/3
For the function f(x)=2x+1, what would the Range values be if you use the Domain values of -2, -1, 0, 1, and 2?
R: {-3,-1,1,3,5}
Decide whether a positive, negative, or no correlation may exist:
Temperature and Elevation
Negative
Find the Slope of the Line that passes between through these pair of points:
(0,9) and (0,4)
Undefined
Write an equation of the line in slope-intercept form AND standard form:
slope: -2
y-intercept: 1
y=-2x+1
2x+y=1
Are these two lines parallel, perpendicular, or neither?
y=3x+4
-4x+2y=4
Neither, slopes are 3 and 2
Is this relation a function?
(6,1), (8,3), (7,2), (6,8)
Why or why not?
Not a function, because the x-value 6 has more than one y-value
Draw a Scatter Plot with a Positive Correlation
Look at Scatter Plot
Find the x-intercept of the equation y=3x-6
Write an equation of the line in slope-intercept form AND standard form:
slope: 3
y-intercept: 2
y=3x+2
-3x+y=1
Are these two lines parallel, perpendicular, or neither?
y=-9x+3
-x+9y=-9
Perpendicular; slopes are negative reciprocals
Is this relation a function?
(9,0), (7,2), (3,-2), (2,-4)
Why or why not?
Yes it is a function, because each x-value only has one y-value
Draw a Scatter Plot with a Negative Correlation
Look at Scatter Plot
Find the y-intercept of the equation y=-3x-24
y=-24
Write an equation in point-slope form:
point 1: (3,0)
point 2: (0,-12)
y=4(x-3)
OR
y+12=4(x)
Are these two lines parallel, perpendicular, or neither?
y=5x+2
-10x+2y=-6
Parallel; same slope