Function Basics
Tables & Rules
Graphs
Compare Functions
Model & Interpret
100
What makes a relation a function?
Each input has exactly one output.
100
For y = x + 4, find y when x = 6.
10
100
Name the graph test used to identify functions.
Vertical line test
100
Compare slopes: Function A has slope 5, Function B has slope 2.
Function A increases faster.
100
A taxi charges $4 plus $2 per mile. Interpret the 4.
Starting fee / initial value / y-intercept
200
Decide whether {(1, 3), (2, 5), (3, 5)} is a function.
Yes, each input has one output.
200
Find the rate of change: x = 0,1,2,3 and y = 5,8,11,14.
3
200
Find the y-intercept from the point (0, -3).
-3
200
Compare rates: y = 3x + 1 and a table that increases by 3 each step.
They have the same rate of change.
200
In C(x) = 15x for shirt cost, interpret x.
Number of shirts
300
Decide whether {(4, 1), (4, 2), (6, 8)} is a function.
No, input 4 has two outputs.
300
Write the rule: x = 0,1,2,3 and y = 2,6,10,14.
y = 4x + 2
300
Find slope when rise is 8 and run is 4.
2
300
Compare starting values: y = 2x + 8 and a graph with y-intercept 5.
y = 2x + 8 has the greater starting value.
300
Model: a plant starts at 6 cm and grows 2 cm per week.
h(w) = 2w + 6
400
Evaluate f(5) for f(x) = 2x + 7.
17
400
Write the equation with rate -2 and y-intercept 9.
y = -2x + 9
400
A vertical line hits a graph in two points. Function or not?
Not a function
400
Compare outputs at x = 4: y = x + 9 and y = 3x.
y = x + 9 is greater.
400
Model: 80 gallons drain at 5 gallons per minute.
g(m) = 80 - 5m
500
Create a real-life function for tickets costing $12 each.
C(x) = 12x
500
Find slope from x: 2,4,6 and y: 7,13,19.
3
500
Find slope through (0, 6) and (3, 0).
-2
500
Same slope, y-intercepts -1 and 4. Describe the lines.
Parallel; the second is 5 units higher.
500
Evaluate and interpret g(10) for g(m) = 80 - 5m.
30 gallons after 10 minutes
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