Show:
Graph #1
Graph #2
Graph #3
Graph #4
Miscellaneous
100
State the range of the function shown in graph #1
What is y is greater than or equal to 1
100
State any interval(s) where the graph is increasing in graph #2
What is nowhere
100
Identify the domain and range of the function shown graph #3
What is a domain of all real numbers and a range of y is less than or equal to 0
100
State the domain and the range of the function shown in graph #4
What is the domain and range are both all real numbers
100
How would you translate the graph of y = x^4 to produce the graph of y = 1/3 (x - 1)^4 - 1
What is vertical shrink, right 1, and down 1
200
Describe any symmetry shown in graph #1
What is x = 3 (axis of symmetry)
200
Finish the statement based on graph #2 As x decreases, y ____________
What is increases
200
Describe the end behavior of the function shown in graph #3
What is as x approaches infinity, y approaches negative infinity as x approaches negative infinity, y approaches negative infinity
200
Describe the degree and the leading coefficient of the function shown in graph #4
What is an odd degree and a positive leading coefficient.
200
Classify the polynomial function as even, odd, or neither based on its symmetry and state why you chose this answer y = x^2 - x + 6
What is neither because some of the exponents are odd and some are even
300
State any interval(s) where the function is increasing in graph #1
What is x > 3
300
Describe the degree and the leading coefficient of the polynomial function shown in graph #2
What is an odd degree and a negative leading coefficient.
300
Write a possible equation for the function in graph #3
What is y = (any negative #) (x) ^ (even #)
300
State the end behavior of the function shown in graph #4
What is as x approaches infinity, y approaches infinity as x approaches negative infinity, y approaches negative infinity
300
Classify the polynomial function as even, odd, or neither based on symmetry and justify your answer y = 2x^6 - 3x^2 - 5
What is even because all of the exponents are even
400
Describe any interval(s) where the function is decreasing in graph #1
What is x < 3
400
Write a possible equation for the function shown in graph #2
What is y = (any negative #) (x + 1) ^(odd) + 1
400
Describe any interval(s) where the graph increases and any interval(s) where the graph decreases (graph #3)
What is increasing x < 0 and decreasing x > 0
400
Write a possible equation for the function shown in graph #4
What is y = (any positive #) (x) ^ odd
400
Write an equation of a polynomial function with a vertex of ( -2, 3) and a range ( neg infinity, 3]
What is y = (any neg #) (x + 2)^ (even #) + 3
500
Write a possible equation for graph #1
What is y = (any pos #) (x - 3)^(even #) + 1
500
Describe any symmetry shown in graph #2
What is symmetric about the point (-1,1).
500
Classify the function as even, odd, or neither based on its symmetry and state why you chose that answer (graph #3)
What is even because the graph is symmetric over the y-axis.
500
Is the function shown in graph #4 even, odd, or neither based on symmetry and state why you chose that answer.
What is odd because the graph is symmetric about the origin.
500
Write an equation of a polynomial function that has an axis of symmetry of x = 2 and a minimum value of -3.
What is y = (any pos #) (x - 2) ^ (even #) - 3