State the slope and y-intercept from the equation:
y = 2x - 8
m = 2
b: (0 , -8)
Explain what the rate of change and y-intercept mean from this graph.
m: 40 mi / hr
Every hour, 40 miles are traveled.
b: ( 0, 0 )
At zero hours, 0 miles are traveled.
Given slope and y-intercept, write the equation.
m = -7
b: (0 , 3)
y = -7x + 3
State the x- and y-intercept of the equation.
3x - 4y = 12
x - intercept: ( 4 , 0 )
y - intercept: ( 0 , -3 )
FREE POINTS
YAYYYY!!!!
Identify whether the function is linear or non-linear, explain why.
Non-linear because it is not a straight line.
Given the graph, does the ordered pair (2,-2) match to the function for which it is a solution?
No
State the slope and y-intercept from the graph.
m = 1
b: (0 , 0)
State which person had a greater rate of change. Explain your answer (with numbers).
Pennington because he had a rate of change of 80 mi/hr compared to Williams with rate of 60 mi/hr.
Given the graph, write the equation.
y = 3x + 2
State the x- and y-intercept of the equation.
5x + 10y = 25
x - intercept: ( 5 , 0 )
y - intercept: (0 , 2.5)
Given f(x) = 4x - 3, if the slope doubled, explain what would happen with the graph of the new function.
Which intercept stays the same? Which changes? Change of slope - faster, slower, same?
x-intercept changes
y-intercept stays the same
slope is at a faster rate
Identify whether the function is linear or non-linear, explain why.
Non-linear because there is not a constant rate of change.
Given f(x) = -2x - 8, does the ordered pair (0,-8) match to the function for which it is a solution?
yes
State the slope and y-intercept from the graph.
m = undefined
b: none
Explain what the rate of change and y-intercept means from this table.
m = $2.50 / food sample
For every food sample, cost increases $2.50.
b: ( 0 , 5 )
At zero food samples, $5.00 are still spent due to the admission fee.
Given the graph, write the equation.
x = 2
State the x- and y-intercept of the equation.
2x - 14y = -28
x - intercept: (-14 , 0)
y - intercept: (0 , 2)
Given f(x) = 10x +40, if the slope halved, explain what would happen with the graph of the new function.
Which intercept stays the same? Which changes? Change of slope - faster, slower, same?
x-intercept changes
y-intercept stays the same
slope has a slower rate
Is the following a function or not a function? Explain why.
Function because every input has exactly one output.
Given f(x) = -5x + 14, find when f(6).
f(6) = -16
State the slope and y-intercept from the table.
m =
7 / 5
b: (0, 5)
Explain what the rate of change means from this table. Also, find the y-intercept.
m = $39 / computer game
For every computer, the cost increases $39.00.
B: ( 0, 0 )
Given the table, write the equation.
y = 3x + 1
Convert the equation to slope-intercept form.
8x + 4y = 16
y = -2x + 4
FREE POINTS
YAYYYYYY!!!!
Given the table, does it have a constant rate of change of -4? Decide if you agree or disagree, explain your reasoning.
Disagree, slope is 4 and not -4.
f(-2) = 9
State the slope from the two ordered pairs.
( -10, 8) and ( 8, 8)
m = 0
Given the equation explain what the rate of change and y-intercept mean.
y = -2x +30
y: amount of water in the bucket (L)
x: time (minutes)
m = -2 L/min -- losing 2 L/min
Every minute, 2 liters are lost from the bucket.
b: ( 0, 30)
At 0 minutes, there are 30 liters in the bucket.
Given the ordered pairs, write the equation.
( -4 , 3 ) and ( 5 , 3 )
y = 3
Convert the equation to slope-intercept form.
3x -12y = 36
y = 1/4x-3
If the slope of the graph was halved, how would the line change - steeper or flatter?
Also state the original slope and y-intercept.
Flatter Line
Original slope: 2 in/hr
b: (0 , 0)
Create an example of a mapping that is not a function.
Answers vary.
Given f(x) = 8x - 24 and the domain {-2,0,1}, find the range.
Range = {-40,-24,-16}
State the slope and y-intercept from the two ordered pairs.
(4 , 5) and ( 7, 11)
m = 2
b: (0, -3)
Given the graph. Explain what the point (45, 28) means.
After 45 years, the fig tree has grown to a diameter of 28 inches.
Given the ordered pairs, write the equation.
( 2 , 5 ) and ( 3 , 9 )
y = 4x - 3
Convert the equation to slope-intercept form.
5x + 2y = 32
y=-5/2x+16
Given the graph, if the y-intercept change to (0,5), how would the graph change? (Line/steepness, y-intercept/change, graph/shift)
Line Steepness - no change
y-intercept - increases by 5
Graph - shifts up
Create a linear function in the form of a table.
Answers vary.
Given f(x) = 0.5x - 4 and the domain { -4, 1, 3}, find the range.
Range: {-6, -3.5, -2.5}