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Abs. Value and Step Functions
Intercepts
Rate of Change
Modeling Linear Functions
???Mystery???
100
See Graph 3) How much will it cost somebody to ship something in the mail that weighs 2 ounces
$0.90
100
What is the x-coordinate of the point where the graph intersects the x axis called?
What is the x intercept
100
What is the slope of a horizontal line?
Zero
100
A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing r radios is given by the function c(r) = 5.25r + 125, then the value 5.25 best represents in the context of this problem?
the cost of manufacturing each radio
100
What is the function called that produces a straight line on a graph?
linear functions
200
See graph 4) What is the minimum value of the function?
y = -2 (1, -2)
200
What is the y-coordinate called where a functions graphs cross the y-axis
y-intercept
200
Determine the slope of the line going through the points (2, 5) and (4, 9)
m = 2
200
The cost of airing a commercial on television is modeled by the function C(n) = 110n + 900, where n is the number of times the commercial is aired. Based on this model, what is the initial cost and cost of airing the commercial each time it is on TV?
Initial cost = 900 Each time airs on TV= 110
200
What is the slope intercept form of a linear function?
f(x) = mx + b
300
How much would it cost someone to mail something that weighs 3 ounces?
$1.15
300
Find the x intercept of 5x - 4y = 40
x-int. = 8
300
Find the slope of (4,-2) and(-1,2)
m = -4/5
300
See Question 1
h(n) = 1.5n + 1.5
300
What is the y-int and slope of graph 2?
y-int.= -2 and slope = 2
400
See Graph 4) State the domain in interval notation for which this function is increasing?
1 < x < 6
400
Find the y-intercept of 5x - 4y = 40
y-int = -10
400
Convert 2y + 5x = 12 into slope intercept form. Determine the slope of this function
-5/2 or -2.5
400
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill? 1) c = 60 − 0.05d 2) c = 60.05d 3) c = 60d − 0.05 4) c = 60 + 0.05d
Choice 4
400
Determine the inequality for graph 2?
y is greater than or equal to 2x - 2
500
See graph 4) If this function was shifted 4 units to the left? State the interval in which the domain would be increasing?
-3 < x < 2
500
Find the x and y intercepts of 2x + 4y=8. (Do one at a time)
x - int=4 and y - int =-2
500
Determine the equation of linear function that pass through the points (0, 1) and (4, 13)
f(x) = 3x + 1
500
A typical cell phone plan has a fixed base fee that includes a certain amount of data and an overage charge for data use beyond the plan. A cell phone plan charges a base fee of $62 and an overage charge of $30 per gigabyte of data that exceed 2 gigabytes. If C represents the cost and g represents the total number of gigabytes of data, which equation could represent this plan when more than 2 gigabytes are used? 1) C = 30 + 62(2 − g) 2) C = 30 + 62(g − 2) 3) C = 62 + 30(2 − g) 4) C = 62 + 30(g − 2)
choice 4
500
Write the equation in slope intercept form: (1,-4) and (3,2)
slope intercept: y=3x -7