terMInology | 109● (^) Inscribed Polygon A polygon is inscribed in a circle if all vertices of the polygon lie on the
circle.
● (^) Secant line A secant line to a circle is a line that intersects a circle in exactly two points.
● (^) Sector Let AB be an arc of a circle. The sector of a circle with arc AB is the union of all
radii of the circle that have an endpoint in arc AB. The arc AB is called the arc of the
sector, and the length of any radius of the circle is called the radius of the sector.
● (^) Tangent line A tangent line to a circle is a line in the same plane that intersects the circle
in one and only one point. This point is called the point of tangency.
Algebra II
Module 1
● (^) Axis of Symmetry The axis of symmetry of a parabola given by a focus point and a
directrix is the perpendicular line to the directrix that passes through the focus.
● (^) Dilation at the Origin A dilation at the origin Dk is a horizontal scaling by k> 0 followed
by a vertical scaling by the same factor k. In other words, this dilation of the graph of
yf= ()x is the graph of the equation yk= fx()k^1. A dilation at the origin is a special type of a
dilation.
● (^) end behavior Let f be a function whose domain and range are subsets of the real
numbers. The end behavior of a function f is a description of what happens to the values
of the function
○ (^) as x approaches positive infinity and
○ (^) as x approaches negative infinity.
● (^) even Function Let f be a function whose domain and range is a subset of the
real numbers. The function f is called even if the equation fx()=-fx() is true for every
number x in the domain. Even-degree polynomial functions are sometimes even
functions, such as fx()=x^10 , and sometimes not, such as gx()=-xx^2.
● (^) Odd Function Let f be a function whose domain and range is a subset of the real
numbers. The function f is called odd if the equation fx()-=-fx() is true for
every number x in the domain. Odd-degree polynomial functions are sometimes odd
functions, such as fx()=x^11 , and sometimes not, such as hx()=-xx^32.
● (^) Parabola A parabola with directrix line L and focus point F is the set of all points in the
plane that are equidistant from the point F and line L.
● (^) Pythagorean Triple A Pythagorean triple is a triplet of positive integers (a, b, c) such that
ab^22 +=c^2. The triple (3, 4, 5) is a Pythagorean triple, but () 11 ,, 2 is not, even though the
numbers are side lengths of an isosceles right triangle.
● (^) rational expression A rational expression is either a numerical expression or a variable
symbol or the result of placing two previously generated rational expressions into the
blanks of the addition operator ( + ), the subtraction operator ( − ), the
multiplication operator ( × ), or the division operator ( ÷ ).