Function vs. Not a Function
Writing Equations
Linear vs. Nonlinear
Linear Functions
Story Graphs
100
What is the definition of a function?
Every input value has exactly one output value.
100
If m=2/3 and b=3 how would you write the equation of these two values in slope-intercept form?
y=2/3x+3
100
is the given function linear or nonlinear? Explain.
Linear because its a straight line that constantly increases.
100
What is another word for slope and y-intercept?
rate and starting amount.
100
Which intervals are decreasing?
Intervals E and G
200
Determine whether the given relation is a function or not and give a "because" statement.
Not a function, because the input -3 has two outputs of 1 and -3.
200
Rick has $120 in his savings account and is willing to pay a kid to shovel his front yard for $8 per hour. Write an equation in slope-intercept form to express this situation.
y=-8x+120
200
is the given function linear or nonlinear? Explain.
Linear because the inputs and outputs both change at a constant rate. m=4/1 <-- constant rate
200
If 5 candy bars cost $10 and Mary starts with $10 made selling candy bars what is the equation that represents this situation?
y=2x+10
200
How long did Dylan stop stop for lunch?
1 hour
300
Determine whether the given relation is a function or not and give a "because" statement.
Not a function because the input 1 has two outputs of 1 and 2.
300
Write an equation in slope-intercept form given the graph:
y=3x-5
300
Is the given function linear or nonlinear? Explain.
Nonlinear because it does not have a constant rate. The y values change by 5,8,9, and 6.
300
Max puts a stopper in the bathtub and turns on the faucet at t = 0.
After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub.
Write an equation that relates the number of gallons, y, to the time, x.
y=2.2x
300
B
400
One of the tables below are a function the other isn't. Explain the difference between the two.
The first table is a function and the second isn't, it is okay for different inputs to have the same output, but an input can't have multiple outputs.
400
Write the equation of the table below in slope-intercept form:
y=3x+2
400
Is the table linear? Explain.
Linear, because the constant rate is 2.
400
Write an equation in slope-intercept form for the line that contains the points (2, 4) and (6, 16).
y=3x-2
400
Make up a story about the graph below by describing the behavior of each interval:
*answers vary*
500
Make up your own example of a table of values that is a function and another example that is not a function. Include at least 3 inputs and outputs each.
*answers vary*
500
Write the equation in slope-intercept form of the line between the two points: (6,5) and (7,10) with a y-intercept of 2
y=5x+2
500
between x=1 and x=5
500
Write the equation in slope-intercept form of the line between the two points: (6,−2) and (7,−1) .
y=x-8
500
The value of a stock decreases sharply for 2 weeks, then increases sharply for 1 week,
and then decreases sharply again for 2 weeks.
Which graph shows the relationship between the value of the stock and time?
a. 
b.
c.
d.
a