1.1
This test determines if a relation is a function by drawing a straight vertical line through its graph.
What is the Vertical Line Test?
A function f(x) exhibits this type of symmetry if f(-x) = f(x) for all x in its domain.
What is an even function (or y-axis symmetry)?
Given f(x) = 4x-6 and g(x) =1/2 x+3, this is the simplified formula for h(x) = (f - g)(x).
What is h(x) = 7/2x - 9?
To find the algebraic inverse of a function y = f(x), this is the first step you perform with the variables x and y.
What is swapping (or switching) x and y?
The factored form of the polynomial x2 - 2x - 24.
What is (x - 6)(x + 4)?
For the relation {(0,0), (1,4), (3,13), (2,6), (1,15)}, this set represents its domain.
What is {0, 1, 2, 3}?
A function f(x) exhibits this type of symmetry if f(-x) = -f(x) for all x in its domain.
What is an odd function (or origin symmetry)?
Given f(x) = 4x - 6 and g(x) = 1/2x + 3, this value must be excluded from the domain of h(x) = (f/g)(x).
What is x = -6?
The inverse function of f(x) = 4x + 5.
What is f-1(x) = (x-5)/4 (or 1/4x - 5/4)?
The result of adding the polynomials (-3x2 + 6x - 4) + (-6x2 + x + 3).
What is -9x2 + 7x - 1?
This set of inputs maps to more than one output in the relation {(-3, 0), (-1, 1), (0, 2), (6, 1), (6, 3)}, proving it is not a function.
What is x = 6?
If h(x) is an odd function containing the point (-4, 10), this point must also be on the graph.
Answer: What is (4, -10)?
For f(x) =√(x+2) - 3 and g(x) = 4x - 2, this expression represents the composition g(f(x)).
What is 4√(x+2) - 14?
The simplified result of f(g(x)) when f(x) =3x -5 and g(x) = 1/3x+5/3.
What is x?
The simplified product of the binomials (x - 8)(x + 5).
What is x2 - 3x - 40?
The end behavior of a function whose graph goes down on both the far left and the far right.
What is "As x approaches negative infinity, y approaches negative infinity" and "As x approaches infinity, y approaches negative infinity"
Classification of the function f(x) = x^2 + 6 as even, odd, or neither.
What is even?
Using a table where f(1) = 3 and g(3) = 1/2, this is the value of (g(f(1)).
What is 1/2?
If both f(g(x))=x and g(f(x))=x, this describes the relationship between functions f(x) and g(x).
What is they are inverses of each other?
The simplified radical form of √20
What is 2√5?
These points on a graph represent where the function crosses the x-axis and y-axis.
What are the intercepts?
Classification of the function g(x) = 7x^3 - x as even, odd, or neither.
What is odd?
The domain of the composite function f(g(x)) where f(x) = √(x+2)-3 and g(x)=4x-2.
What is x≥0 (or [0,∞)?
If an original relation contains the points {(1,3), (2,1), (4,π ), (8,-4)}, these ordered pairs form its inverse relation.
What are {(3,1), (1,2), (π,4), (-4,8)}?
The simplified radical form of √(63/81)
What is √7/3?