- 11.4.A.1: In Exercises 4647, find the rotation equations when the x- and y-ax...
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Solutions for Chapter 11.4.A: Analytic Geometry
Full solutions for Precalculus | 1st Edition
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers
A ratio equal to 1, used for unit conversion
Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)
Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.
Horizontal Line Test
A test for determining whether the inverse of a relation is a function.
Point where a curve crosses the x-, y-, or z-axis in a graph.
See Power function.
Measure of an angle
The number of degrees or radians in an angle
An interval that does not include its endpoints.
Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.
Position vector of the point (a, b)
The vector <a,b>.
A procedure for fitting a curve y = a . x b to a set of data.
Product of complex numbers
(a + bi)(c + di) = (ac - bd) + (ad + bc)i
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).
Reciprocal of a real number
See Multiplicative inverse of a real number.
Reflection across the y-axis
x, y and (-x,y) are reflections of each other across the y-axis.
Solve by substitution
Method for solving systems of linear equations.
Union of two sets A and B
The set of all elements that belong to A or B or both.
The restrictions on x and y that specify a viewing window. See Viewing window.