Parts of Functions
What is the domain?
(-6, -8), (-4, -3), (-1, 6), (0, 10)
{-6, -4, -1, 0}
What is a set of ordered pairs known as?
relation
Give an example of a quadratic function.
Ex. x2 + 3x - 1
When each half of the graph maps exactly to the other half, it is called __________ symmetry.
line
parent
What is the domain and range of the following?
(8,-2), (7, -1), (6, 0), (5, 1), (4, 2)
Domain - {8, 7, 6, 5, 4}
Range - {-2, -1, 0, 1, 2}
When the domain of a relation has an infinite number of elements and the relation can be graphed with a line or smooth curve, the relation is a __________ function.
continuous
If x is in the denominator of an equation, is it linear?
No
The line dividing the graphs into matching halves is called the __________ ___ ___________ .
line of symmetry
y = (x + 5)
What type of transformation is happening?
left 5 units
The second variable in a function, often y, is called the _____________ variable because its values rely on x.
dependent
A relation in which the domain consists of a set of individual elements and the graph is a set of unconnected points is said to be a _______ function.
discrete
Write y = 5x - 2 in function notation.
f(x) = 5x - 2
A parabola that opens upward has a _______________ value.
Minumum
y = 2x
What type of transformation is happening?
Vertical Stretch by 2
When an equation represents a function, the variable, often x, with values making up the domain is called the ______________ variable.
independent
What type of function occurs when each element of the domain pairs to exactly one unique element of the range?
one-to-one
How do you know if a function is linear?
no exponent raised to a power greater than one; can be written in slope-intercept form
A graph that has extrema has at least one __________ _________.
turning point
y = - ( x - 3 )
What type of transformations are happening?
reflection across x-axis
right 3 units
What is the name of the test one can use to determine if a graph is a function?
Vertical Line Test
What is the term for when each element of the range corresponds to an element of the domain?
Onto
Yes; y = 7x + 4 (slope-intercept form)
Describe point symmetry.
if it can be rotated 180 degrees about a point so that its rotation maps exactly to itself (original position)
y = (-5x + 5)
What type of transformations are happening?
reflection across the y-axis
left 5 units
horizontal compression