Are You Having Fun(ction)?
Am I a function? And WHY?
Am I linear? And WHY?
Let's Compare!
Write, Sketch, & Graph!
100
This is the word for any set of ordered pairs.
What is a relation?
100
What is YES! NO input values repeat.
100
Is y = 5x + 2 Linear or Nonlinear?
Explain your answer.
What is Linear? It is written in slope-intercept form.
100
Which has the greater rate of change, the equation y= 1/2x - 6, or the function graphed below? State the rate of the greatest one.
What is the graph's rate of 2/3?
100
This is the function rule for "the output is seven less than three-quarters of the input".
What is y= 3/4x - 7?
200
This word describes a relation that pairs each x value with only one y value.
What is a function?
200
Is this a function and why?
What is no, because the input 8 has two outputs?
200
Linear or Nonlinear? Explain.
What is NonLinear? The graph is not a straight line.
200
Is the shaded region increasing/decreasing/constant?
What is decreasing?
200
Graph y= -2/3x - 1
(Teacher will check graph.)
300
This term can be represented by a straight nonvertical line on a graph, a equation, or a table with a constant rate of change
What is a linear function?
300
This is the graph that is not a function.
What is Graph 1?
300
y = 4/3x2
Justify your response.
What is NonLinear? The equation has an exponent, so it cannot be written in y=mx+b form.
300
Is the function increasing or decreasing during the interval between x=2 to x=3?
What is decreasing?
300
Graph the points from the table. Than determine if the relation is a linear function/nonlinear function/nonfunction.
| Input | Output |
|---|---|
| -5 | 2 |
| -3 | 0 |
| -1 | -1 |
What is a nonlinear function?
400
This word is used to describe the set of all x-values in a relation.
What is the input?
400
Is the following relation a function? 
What is yes? Each input has one output.
400
Does the table depict an linear or non-linear function? Explain.
What is NonLinear? The y-values do not show a constant rate of change.
400
This is the rate of change between these two ordered pairs: (7,16) and (12,41)
What is 5 (or 5/1)?
400
This is the qualitative graph of the following scenario:
Your friend walks home from high school. On the way they stop at the Library for a few minutes to return a book, then resume their walk home. After a few minutes they stop at the park to play a quick game of Basketball, then resume their walk home. Sketch a graph that shows your friend's distance walked over time.
Graph should show:
increasing, constant, increasing, constant, increasing
500
This word is used to describe the set of all y-values in a relation.
What is the output?
500
Which relation is NOT a function? Explain.
a.) (1,-5), (3,1), (-5,4), (4,-2)
b.) (2,7), (3,7), (4,7), (5,8)
c.) (1,-5), (-1,6), (1,5), (6,-3)
d.) (3,-2), (5,-6), (7,7), (8,8)
C - The input 1 has two different outputs.
500
Is the equation 2x + 3y = 7 linear or nonlinear?
Explain your answer.
What is Linear? The equation can be written in slope-intercept form.
500
A table of values for a linear function is given below. Find the rate of change. Then compare it to the rate in the function y=-3/4x+6
x -1 0 1
y 3 8 13
What is 5 (or 5/1)? It is GREATER than the equation's rate.
500
In a certain storm, Merrimack receives 4 inches of snowfall every 6 hours. There was no snow on the ground when the storm began.
A) This is the function rule for this scenario, and
B) This is how long it would take to receive 1 foot of snow.
What is...
A) y = 2/3 x
B) 18 hours
600
What visual test can be used to determine if a graph is a function?
What is the Vertical Line Test?
600
Is (2,5), (3,6), (4, 7) and (-3,6) a function? Explain.
What is yes? Each input has one output.
600
Is this linear or nonlinear? Explain. If it is linear, what is the constant rate of change?
What is Linear? The x and y values both have a constant rate of change.
Rate of Change: 3/1 or 3
600
What is the rate of change from 1 second to 3 seconds? Include units in your answer.
What is -64 feet per second?
600
Find h(x) = 3x2 + 4x
when x = -1
-1