 3.4.A.1: In Exercises 16, graph the equation and state whetherthe graph has ...
 3.4.A.2: In Exercises 16, graph the equation and state whetherthe graph has ...
 3.4.A.3: In Exercises 16, graph the equation and state whetherthe graph has ...
 3.4.A.4: In Exercises 16, graph the equation and state whetherthe graph has ...
 3.4.A.5: In Exercises 16, graph the equation and state whetherthe graph has ...
 3.4.A.6: In Exercises 16, graph the equation and state whetherthe graph has ...
 3.4.A.7: In Exercises 710, determine algebraically whether ornot the graph o...
 3.4.A.8: In Exercises 710, determine algebraically whether ornot the graph o...
 3.4.A.9: In Exercises 710, determine algebraically whether ornot the graph o...
 3.4.A.10: In Exercises 710, determine algebraically whether ornot the graph o...
 3.4.A.11: In Exercises 1114, determine algebraically whetherthe graph of the ...
 3.4.A.12: In Exercises 1114, determine algebraically whetherthe graph of the ...
 3.4.A.13: In Exercises 1114, determine algebraically whetherthe graph of the ...
 3.4.A.14: In Exercises 1114, determine algebraically whetherthe graph of the ...
 3.4.A.15: In Exercises 1518, determine algebraically whetherthe graph of the ...
 3.4.A.16: In Exercises 1518, determine algebraically whetherthe graph of the ...
 3.4.A.17: In Exercises 1518, determine algebraically whetherthe graph of the ...
 3.4.A.18: In Exercises 1518, determine algebraically whetherthe graph of the ...
 3.4.A.19: In Exercises 1924, determine whether the given graphis symmetric wi...
 3.4.A.20: In Exercises 1924, determine whether the given graphis symmetric wi...
 3.4.A.21: In Exercises 1924, determine whether the given graphis symmetric wi...
 3.4.A.22: In Exercises 1924, determine whether the given graphis symmetric wi...
 3.4.A.23: In Exercises 1924, determine whether the given graphis symmetric wi...
 3.4.A.24: In Exercises 1924, determine whether the given graphis symmetric wi...
 3.4.A.25: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.26: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.27: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.28: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.29: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.30: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.31: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.32: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.33: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.34: In Exercises 2534, determine whether the given function is even, o...
 3.4.A.35: In Exercises 3538, complete the graph of the givenfunction, assumin...
 3.4.A.36: In Exercises 3538, complete the graph of the givenfunction, assumin...
 3.4.A.37: In Exercises 3538, complete the graph of the givenfunction, assumin...
 3.4.A.38: In Exercises 3538, complete the graph of the givenfunction, assumin...
 3.4.A.39: a. Plot the points (0, 0), (2, 3), (3, 4), (5, 0),andb. Suppose the...
 3.4.A.40: a. Plot the points andb. Suppose the points in part a lie on the gr...
 3.4.A.41: Show that any graph that has two of the threetypes of symmetry (xa...
 3.4.A.42: Use the midpoint formula (see the AlgebraReview Appendix) to show t...
 3.4.A.46: In Exercises 4648, determine algebraically whether the graph of the...
 3.4.A.47: In Exercises 4648, determine algebraically whether the graph of the...
 3.4.A.48: In Exercises 4648, determine algebraically whether the graph of the...
 3.4.A.49: In Exercises 4951, determine whether the given function is even, od...
 3.4.A.50: In Exercises 4951, determine whether the given function is even, od...
 3.4.A.51: In Exercises 4951, determine whether the given function is even, od...
 3.4.A.52: Plot the points and on coordinate axes.a. Suppose the points lie on...
Solutions for Chapter 3.4.A: Excursion: Symmetry
Full solutions for Precalculus  1st Edition
ISBN: 9780030416477
Solutions for Chapter 3.4.A: Excursion: Symmetry
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus, edition: 1. Since 49 problems in chapter 3.4.A: Excursion: Symmetry have been answered, more than 24634 students have viewed full stepbystep solutions from this chapter. Chapter 3.4.A: Excursion: Symmetry includes 49 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780030416477.

Absolute maximum
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

Absolute value of a vector
See Magnitude of a vector.

Algebraic expression
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

Distance (on a number line)
The distance between real numbers a and b, or a  b

Equivalent arrows
Arrows that have the same magnitude and direction.

Expanded form
The right side of u(v + w) = uv + uw.

Gaussian curve
See Normal curve.

Halfplane
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Interval
Connected subset of the real number line with at least two points, p. 4.

Maximum rvalue
The value of r at the point on the graph of a polar equation that has the maximum distance from the pole

Natural logarithm
A logarithm with base e.

Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

Polar axis
See Polar coordinate system.

Randomization
The principle of experimental design that makes it possible to use the laws of probability when making inferences.

Righthand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.

Second
Angle measure equal to 1/60 of a minute.

Solve algebraically
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

Standard form of a complex number
a + bi, where a and b are real numbers