Domains
Graph Shapes
Transformations
Compositions
ANYTHING GOES
100
The domain of any non-vertical line
What is "All Real Numbers"?
100
The type of function whose graph is shaped like a "V"
What is "Absolute Value"?
100
Adding 5 on the "outside" of a function will make this change to its graph
What is "Translate (shift) up 5"?
100
The function h(x), resulting from the composition f(g(x)), If f(x) = 2x+3 and g(x) = x^2.
What is "h(x) = 2x^2 +3"?
100
The slope of the line f(x) = 5x
What is "5"?
200
The domain of the square root function, in interval notation
What is: [0,∞)?
200
The type of function whose graph is a horizontal line
What is "Constant"?
200
Subtracting 10 on the "inside" of a function will make this change to its graph
What is "Translate (shift) 10 units to the right"?
200
The function, p(x), resulting from the composition (m(n(x)), if m(x) = x^2 and n(x) = sqrt(x-3)
What is "p(x) = x-3"?
200
The domain of the function f(x) = x^3
What is "All Real Numbers"?
300
In interval notation, the domain of the square root function on the front board.
What is [3,∞) ?
300
The graph of this function has a slope of 1 and a y-intercept of 0
What is "Identity"?
300
The transformation that results when the function f(x)=x^2 changes to g(x)=-x^2
What is "Reflection over the x-axis"?
300
The domain of h(x) in interval notation, where h(x) = f(g(x)), if f(x) = 2x^2 and g(x) = sqrt(x+1)
What is "[-1,∞)"?
300
The quadrants containing the graph of f(x) = -3/x
What are "Quadrants 2 and 4"?
400
In interval notation, the domain of the function: g(x) = (3x^2 + 2x)/sqrt(x+5)
What is (-5 , ∞)?
400
The graph of this function has 2 branches, located in the 1st and 3rd quadrants
What is "Reciprocal"? ("Inverse Variation" is also acceptable)
400
The change (including the amount) in the graph of f(x)=x^3 when the rule changes to g(x)=(1/3)x^3
What is "Vertical Compression by a factor of 3"?
400
The function h(x) resulting from the composition of f(g(x)), if f(x) = x^2 + 3 and g(x) = (x+2)
What is "h(x) = x^2 + 4x + 7"?
400
Multiplying x by (.25) on the INSIDE of a function will cause this transformation in its graph (including amount)
What is "Horizontal stretch by a factor of 4"
500
In interval notation, the domain of the function: f(x) = (x+1)/sqrt(9 - x^2)
What is (-3 , 3)
500
The shape of this type of function is half of a sideways parabola
What is "Square Root"?
500
The changes, in order, to the graph of f(x)=sqrt(x) when the rule changes to g(x)=sqrt(2(x+3))+4
What is "Translate left 3, horizontal compression by a factor of 2, translate up 4"?
500
The domain of h(x) in interval notation, where h(x) = f(g(x)), if f(x) = 1/x and g(x) = sqrt(x-5)
What is "(5,∞)"?
500
The slang term for the graph shape of f(x) = x^3 (If a certain student had scored an "E" on his quiz last year)
What is "The Cale"?
M
e
n
u