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Conversions
Domain and Range
Linear Function
Linear Regression
Intro to Ch. 2
100
Convert 8 feet to yards
2.667 yards
100
Domain represents the ___ values while range represents the ____ values
x, y
100
In the linear function, y = mx + b, what does 'm' and 'b' stand for?
m = slope of the line b = y-intercept
100
How do you find the y-value when the question gives you the x-value?
After graphing the equation, go to graph. 2nd trace, value. Input your x value.
100
Find the zeros for: y = x^2 +2x -8
(x+4)(x-2), therefore x = -4,2
200
Convert 18745 seconds to hours
5.2 hours
200
Find the domain and range of the function y = 4x + 2
D: (-infinity, +infinity) R: (-infinity, +infinity)
200
Given (2,4) and (1,5) find the slope of the line
-1
200
How do you find your x-value when the question gives you the y-value?
Insert the y-value into y2 in the 'y ='. Go to graph. 2nd trace, intersect. Find the intersection point.
200
Susie throws a ball upward with a velocity of 60 ft/sec from the top of a 30 foot tall tower. How long does it take to reach the maximum height?
1.875 seconds
300
How many cubic centimeters are there in a box that holds 2 cubic yards?
1529109.7 cubic centimeters
300
Find the domain and range of the equation y = 12x -2
D: (-infinity, +infinity) R: (-infinity, +infinity)
300
Find the equation of the line that passes through the points (2,7) and (5,4)
y = -x + 9
300
The data for the cost for a shoe chain are given as follows: (16,4.8), (22,5.9), (35,7), (48,9), (53,10), (70,12), (100,18), (150,30). Note: the y-values are the total cost in thousands of dollars A. Determine the best fitting linear function. B. What is the cost for producing 90 shoes?
A. y = 0.185x + 0.676 B. $17,326
300
Susie throws a ball downward with a velocity of 30 ft/sec from a hill 10 yards high. When will the ball hit the ground?
.722 seconds
400
Convert 200 ft/sec to miles/hour
136.36 mph
400
Find the domain of the function y = (3x)/(x+2)
D: (-infinity, -2) u (-2, +infinity)
400
Find the equation of the line that passes through the origin and 3,5)
y = (5/3)x
400
A researcher estimated the operating costs of cotton gin plants. The operating costs of the plant were: (2,109.40), (4,187.24), (6,273.36), (8,367.60), (10,440.67). Note: the x-values are the number of thousands of bales. the y-values are the total cost in thousands of dollars. A. What is the cost for producing 12,000 bales? B. How many bales of cotton can be produced for $850,000?
A. $528524 B. 19,630
400
Find the domain of the function (4x)/((x+2)(x-6))
D: (-infinity, -2) u (-2,6) u (6, infinity)
500
If a box is 4 feet by 3 feet by 24 inches, how many gallons of water will this box hold?
179.54 gallons
500
What is the domain of the function y = (2x)/((x+3)(x-1))
D: (-infinity, -3) u (-3,1) u (1, +infinity)
500
Determine if the following points lie on the same line.
(-3,-14), (0,4), (2,16)
500
The data for the cost for making a plasma television are given as follows: (16,25), (22,37), (35,42), (48,56), (53,67), (70,82), (100,105), (150,134). Note: X-values are in hundreds of televisions. y-values are total cost in thousands of dollars. A. What is the cost for producing 4000 televisions? B. How many televisions can be produced for $200,000?
A. $50,700 B. 22,250
500
Find the domain of the function (6x)/(x^2 +x-12)
D: (-infinity, -4) u (-4,3) u (3,infinity) Note: factor the denominator to find the zeros.