2.1 and 2.2
Name the quadrant in which the point would be located: (1, -4)
Quadrant 4
Solve the equation for W: P = 2L + 2W
W = (P-2L) / 2
Is the relation a function?
{(1, 2), (2, 3), (3, 3)}
Yes, each input has a single output.
Describe the two transformations happening to the parent absolute value graph:
f(x) = |x - 1| - 3
right one, down three
(look at picture1 in my files to answer this question)
Would the correlation coefficient, r, for this data be closer to r = .88 or r = -.88?
r = .88
Find the midpoint of the line segment that joins the two given points: (-5, -6) and (4, 2)
(-1/2, -2)
A truck rental company offers two kinds of plans. Plan A charges $75 per week plus $0.30 per mile driven. Plan B charges $65 per week plus $0.40 per mile driven. Write an equation that represents the cost to rent a truck for a week if you picked Plan A.
A = 0.3x +75 (A and x can be any variables here)
Given f(x) = 3x - 1, evaluate f(-3).
-10
Sketch a full graph of
f(x) = |x + 2| - 3
Show graph
You have the following data points:
(0, 22), (2, 19), (4, 15), (6, 11), (8, 6), (10, 2)
The line of best fit for this data is y = -2.04x + 22.71
You are asked to make a prediction when x = 20. Would this be interpolation or extrapolation?
Extrapolation since the x-value is outside of our domain.
Find the x- and y- intercepts for 3x+y=9
x-int: 3
y-int: 9
Solve the inequality and write your answer in interval notation: 4x - 7 < 9
( negative infinity, 4 )
Find the domain of the function in interval notation:
f(x) = 1/(x-6)
(negative infinity, 6), (6, infinity)
Find the slope of the line that passes through the two points:
(-8, -2) and (-4, -6)
m = -1
A regression was run to determine whether there is a relationship between hours of TV watched per day (x) and number of sit-ups a person can do (y). The results were:
y = ax +b
a = -1.341
b = 32.234
r = -0.896
Use this to predict the number of sit-ups a person who watches 11 hours of TV a day can do. Round to the nearest whole number.
17 situps
Solve for x:
x/3 - 3/4 = (2x+3)/12
x = 6
Solve the inequality and write your answer in interval notation: (x-1)/3 + (x+2)/5 < 3/5
(negative infinity, 1)
Find the domain of the function in interval notation:
f(x) = squareroot(x-6) (draw this on board)
[6, infinity)
x-intercept (-6, 0) and y-intercept (0, 4)
y = 2/3 x +4
The weight of a newborn is 8.5 pounds. The baby gained 1 pound every two months for a year. Find a linear function that models the baby's weight, W, as a function of the age of the baby in months, t.
Write the equation of the line (in slope intercept form) that passes through the points (1, 3) and (5, 5)
y = 1/2 x + 5/2
Solve the compound inequality and write your answer in interval notation: -4 < 3x +2 < 4
(-2, 2/3)
Graph the piecewise function:
f(x) = x + 1 if x > 2
2x - 1 if x < 0
Show graph to me
Write two linear equations in slope intercept form where the two lines are perpendicular to each other.
Need to have opposite reciprocal slopes.
A town's population has decreased at a constant rate. In 2010 the population was 5,800. By 2014 the population had dropped to 4,700. Assume this trend continues. Identify the year in which the population will reach 850 people.
2028