Are You Having Fun(ction)??
Am I a function and why??
What's my function?
Rate of Change
Function Mystery
100
#2 This word is used to describe a set of ordered pairs.
RELATION
100
#12
No, not a function? It does not pass the vertical line test.
100
#4 What is the output, if x = 4 in the function rule:
y= 2x +1
y = 9
100
#19
Function A: 5 **Greater**
Function B: 3
100
#14
Yes a function
200
#10 This word is used to describe the set of all x-values.
INPUTS
200
#3
Yes. A function: passes the vertical line test.
200
#6 What is the output, if x = -10 in the function rule:
y= 3x +10
y = -20
200
#5 What is the slope of the graph? What is its rate of change?
m = -13/4
rate of change = 13/4
200
#15 Is the relation below a function?
{(–2, 1), (3, –4), (–2, –6)}
No, the x-value: -2 repeats.
300
#13 This word is used to describe the set of all y-values.
OUTPUTS
300
#17 The mapping diagram shows a function or not?
No, not a function: 2 has two arrows
300
#24 Based on the graph of the function, what is the output when x = 1?
y = 1
300
#1 Compare the two linear functions to see who has the GREATEST rate of change?
Roberto: loses 7 pounds a week.
300
#21 Is the equation a function or not, and why or why not?
y = -x
Yes, equation is in slope-intercept form.
Slope = -1
400
#16 How do you determine if a GRAPH is a function or not?
The vertical line test (VLT)
400
#22 Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
No, because the x-value of 2 has two different y-values of 5 and 9.
400
#11 Is the following equation a function? Why or why not?
x = -4
No, not a function: x = -4 is a vertical line on the graph, it would fail the VLT
400
#20
Function G: 1/3
Function H: 2 **Greater**
400
#25 Which function has the greater rate of change?
Function A: {(-10, 20), (-5, 18), (0, 16), (5, 14)}
Function B: It began snowing in Bozeman at noon on Wednesday. A meteorologist measured the snow every hour and came up with this table:
Function C: y = - ⅖ x + 45
They have the same rate of change: 2/5
500
# 9 This word describes any set of ordered pairs where each x-value (input) is paired with one y-value (output).
A function
500
#18 Is this a function and why?
No, because the x-value of 8 repeats OR it fails the VLT
500
#23 Find the output value when x = 4?
y = 0
500
#7 Sophia babysits for three different families. Sophia’s earnings for babysitting for the Smith family is represented in the table. Sophia’s earnings for babysitting for the Jones family is represented in the graph below. Lastly, Sophia’s earnings for babysitting for the Wilson family is represented by the equation below. Which family pays the most for babysitting?
The Smith family: rate of change $10 per hour.
500
#8 What is the equation for a line passing through all the points?
y = 20x
or
y = 20x + 0