Domain and Range
#1 What is the domain?
Interval notation?
Inequality otation?
[-6,∞)
-6≤x<∞
y=1/4x-5
What transformation ocurred to the SLOPE?
Less steep
The growth of a plan in days, x, and corresponding height in inches, y is modeled by y=3.5x+4.2
Interpret the SLOPE
Increase by 3.5 inches every day.
Is this a good correlation coefficient, or a bad correlation coefficient?
-.99
Good
What is the slope?
y=1/3x-4
m=1/3
#4 What is the range?
Interval notation?
Inequality notation?
(-∞,+∞)
-∞<y<+∞
#3
What happened to the SLOPE?
more steep
The age of a bike in years, x, and its corresponding value in dollars, y, is modeled by y=-19x+750
Interpret the slope
Decrease by 19 dollars every year.
A foot print was left at the crime scene. Several suspects are in custody, and your job is to identify the guilty party. The foot size and height of each suspect are as follows. If a suspect has a foot size of 8, how tall would they be?
Line of best fit: y=_______x+_______
Correlation Coefficient: ________
The suspect would have a height of _____ inches if they have a foot size of 8
y=5.48077x+12.50962
r=0.994
56.35578
What is the y-intercept?
y=5x-7
b=-7
#2 What is the range?
Interval notation?
Inequality notation?
[-3,+∞)
-3<=y<+∞
The scatter plot displays a vehicle’s age in years ,x, and its corresponding value in thousands of dollars, y. The line of best fit for the data set is y=-4.3x+22.4
What does the y-intercept in this context mean.
The initial value is 22.4 dollars at 0 years
Tom decided to see if the amount of time he studies for a test affects what grade he receives. He recorded how long he studied for each test and the score he received in the table to the right. If he plans to study for 2 hours for his next test, what would his grade be?
Line of best fit: y=_______x+_______
Correlation Coefficient: ________
If he studies for 2 hours, he can expect a score of ___%
y=9.45342x+67.44099
r=0.9356
86.34783
What happens to the slope?
y=7x-7
more steep (7)
#3 What is the domain?
Interval notation?
Inequality notation?
[-4,1]
-4<=x<=1
y=-6x+10
What tranformations happened to the SLOPE?
reflected
more steep
The scatter plot displays a bike’s age in years, x, and its corresponding value in dollars, y. The line of best fit for the data set is y=-25x+300
What does the y-intercept in this context mean.
#3 Using the line of best fit, write the equation that most closely represents this data.
{(-2,-7) , (0,-3) , (1,-1) , (3,3) , (5,7)}
Line of best fit: y=_______x+_______
Correlation Coefficient: ________
The y-value will be _____ when x=6
y=2x-3
r=1
9
What happened to the y-intercept?
y=2/3x+3
#1 what is the range?
Interval notation?
Inequality notation?
(-∞,2]
-∞ <y<=2
Which equation represents a line that is reflected, less steep, and translated down 5 units?
c. -1/3x-5
#5 Each of the following represents the relationship between a vehicle’s age, x, and its value in thousands of dollars, y. Which representation shows the vehicle with the most expensive initial value?
d. initial value is 83
#4 Write the equation for the line of best fit using the data below.
{(-5,9),(2,31),(9,143),(11,151),(0,42),(5,97)}
Line of best fit: y=_______x+_______
Correlation Coefficient: ________
y=10.57605x+37.38783
r=0.9751
Is the slope more steep or less steep?
y=-6/5x-2
more steep