Parent Functions
Degrees and Classification
End Behavior
Domain, Range, Max/Min, Inc/Dec Intervals
Multiplicity/ Zeros
100
What is the equation for this graph?
What is f(x) = x2
100
What is the degree of the function:
-2x2-9
What is 2
100
What is the end behavior of this graph?
What is as x approaches negative infinity f(x) approaches infinity
as x approaches positive infinity f(x) approaches infinity
100
What is the domain and range of graph A?
What is all real numbers?
100
If the multiplicity is even what effect does that have on the graph?
What is bouncing/turning?
200
What is the domain and range for linear functions?
For 200 bonus points what is the degree of this linear function?
What is all real numbers
What is the degree equals 1
200
What is the name of a graph with a degree of 3?
What is cubic?
200
What is the end behavior?
For 100 bonus points what would be the leading coefficient and degree?
What is as x approaches negative infinity, f(x) approaches infinity
What is as x approaches infinity, f(x) approaches negative infinity
What is odd and negative
200
What is the relative minimum/maximum of Graph A?
What is relative minimum (-1.333, -2.48)
What is relative maximum (-4,7)
200
If the multiplicity is odd what effect does that have on the graph?
What is crossing?
300
What is the equation for an exponential parent function?
What is f(x)=2x
300
What is the degree of 4x3?
What is 3?
300
What is the end behavior of the graph below:
What is as x approaches negative infinity, f(x) approaches negative infinity
as x approaches positive infinity, f(x) approaches infinity
300
What is the increasing and decreasing intervals for Graph A
What is increasing: (-infinity to -4) and (-1.3 to infinity)
What is decreasing: (-4 to -1.3)
300
Name the zeros, multiplicity, and effect for the equation: f(x)= 3x3(x-1)2(x-8)
What is zeros of 0,1,8
What is multiplicity of 3,2,1
What is effect of cross, bounce, cross
400
Name the function:
What is a cube root?
400
What is the name of a graph with a degree of 4?
What is quartic?
400
What is the end behavior?
For 150 bonus points what would be the degree and leading coefficient of this graph?
What is as x approaches negative infinity f(x) approaches negative infinity
What is as x approaches positive infinity f(x) approaches infinity
What is odd and positive
400
What is the relative minimum and maximum of graph B?
What is relative minimum of (-0.36, -0.348)
What is the relative maximum of (-1,0) and (1.366,4.848)
400
Name the zeros, multiplicity, and effect for the equation: f(x)= -x(5x+3)3(x-2)8
What is the zeros of: 0,2, and -3/5
What is the multiplicity: 1,3,8
What is the effect: cross, cross, bounce
500
Write the domain and range for reciprocal parent function on the board.
Domain: x does not equal 0
Range: y does not equal 0
500
State the degree and the name of the graph that corresponds to the degree of the following equation.
x5-6x3-x-1
What is 5 and quintic?
500
What is the end behavior of the function?
For 200 bonus points what would be the leading coefficient and degree of this graph?
What is as x approaches negative infinity f(x) approaches infinity
As x approaches infinity f(x) approaches infinity
What is even and positive
500
What is the increasing and decreasing interval of Graph B?
What is increasing: (-infinity to -1) and (-0.366 to 1.366)
What is decreasing: (-1 to -0.366) AND AND (1.366 to infinity)
500
The graph of a polynomial function has zeros of 0 (multiplicity 2), 1(multiplicity 2), and 5/2 (multiplicity 2). Write a function in factored form that could represent this function.
What is x2(x-1)2(2x-5)2