 P.2.P.2.1: In Exercises 1 and 2, plot the two numbers on a number line. Then f...
 P.2.P.2.2: In Exercises 1 and 2, plot the two numbers on a number line. Then f...
 P.2.P.2.3: In Exercises 3 and 4, plot the real numbers on a number line.3, 4,...
 P.2.P.2.4: In Exercises 3 and 4, plot the real numbers on a number line.5 2 , ...
 P.2.P.2.5: In Exercises 5 and 6, plot the points.A13, 52, B12, 42, C13, 02, D...
 P.2.P.2.6: In Exercises 5 and 6, plot the points.A13, 52, B12, 42, C10, 52,...
 P.2.P.2.7: In Exercises 710, use a calculator to evaluate the expression. Roun...
 P.2.P.2.8: In Exercises 710, use a calculator to evaluate the expression. Roun...
 P.2.P.2.9: In Exercises 710, use a calculator to evaluate the expression. Roun...
 P.2.P.2.10: In Exercises 710, use a calculator to evaluate the expression. Roun...
 P.2.P.2.11: In Exercises 1 and 2, estimate the coordinates of the points.
 P.2.P.2.12: In Exercises 1 and 2, estimate the coordinates of the points.
 P.2.P.2.13: In Exercises 3 and 4, name the quadrants containing the points.(a) ...
 P.2.P.2.14: In Exercises 3 and 4, name the quadrants containing the points. (a)...
 P.2.P.2.15: In Exercises 58, evaluate the expression.3 + 3
 P.2.P.2.16: In Exercises 58, evaluate the expression.2  2
 P.2.P.2.17: In Exercises 58, evaluate the expression.1223
 P.2.P.2.18: In Exercises 58, evaluate the expression.2 2
 P.2.P.2.19: In Exercises 9 and 10, rewrite the expression without using absolut...
 P.2.P.2.20: In Exercises 9 and 10, rewrite the expression without using absolut...
 P.2.P.2.21: In Exercises 1118, find the distance between the points.9.3, 10.6
 P.2.P.2.22: In Exercises 1118, find the distance between the points.5, 17
 P.2.P.2.23: In Exercises 1118, find the distance between the points.13, 12, 1...
 P.2.P.2.24: In Exercises 1118, find the distance between the points.14, 32 11...
 P.2.P.2.25: In Exercises 1118, find the distance between the points. 10, 02, 13...
 P.2.P.2.26: In Exercises 1118, find the distance between the points.11, 22 12,...
 P.2.P.2.27: In Exercises 1118, find the distance between the points.12, 02 15, 0
 P.2.P.2.28: In Exercises 1118, find the distance between the points.10, 82 10,...
 P.2.P.2.29: In Exercises 1922, find the area and perimeter of the figure determ...
 P.2.P.2.30: In Exercises 1922, find the area and perimeter of the figure determ...
 P.2.P.2.31: In Exercises 1922, find the area and perimeter of the figure determ...
 P.2.P.2.32: In Exercises 1922, find the area and perimeter of the figure determ...
 P.2.P.2.33: In Exercises 2328, find the midpoint of the line segment with the g...
 P.2.P.2.34: In Exercises 2328, find the midpoint of the line segment with the g...
 P.2.P.2.35: In Exercises 2328, find the midpoint of the line segment with the g...
 P.2.P.2.36: In Exercises 2328, find the midpoint of the line segment with the g...
 P.2.P.2.37: In Exercises 2328, find the midpoint of the line segment with the g...
 P.2.P.2.38: In Exercises 2328, find the midpoint of the line segment with the g...
 P.2.P.2.39: In Exercises 2934, draw a scatter plot of the data given in the tab...
 P.2.P.2.40: In Exercises 2934, draw a scatter plot of the data given in the tab...
 P.2.P.2.41: In Exercises 2934, draw a scatter plot of the data given in the tab...
 P.2.P.2.42: In Exercises 2934, draw a scatter plot of the data given in the tab...
 P.2.P.2.43: In Exercises 2934, draw a scatter plot of the data given in the tab...
 P.2.P.2.44: In Exercises 2934, draw a scatter plot of the data given in the tab...
 P.2.P.2.45: In Exercises 35 and 36, use the graph of the investment value of a ...
 P.2.P.2.46: In Exercises 35 and 36, use the graph of the investment value of a ...
 P.2.P.2.47: Prove that the figure determined by the points is an isosceles tria...
 P.2.P.2.48: Group Activity Prove that the diagonals of the figure determined by...
 P.2.P.2.49: (a) Find the lengths of the sides of the triangle in the figure.(b)...
 P.2.P.2.50: (a) Find the lengths of the sides of the triangle in the figure. (b...
 P.2.P.2.51: In Exercises 4144, find the standard form equation for the circle.C...
 P.2.P.2.52: In Exercises 4144, find the standard form equation for the circle.C...
 P.2.P.2.53: In Exercises 4144, find the standard form equation for the circle.C...
 P.2.P.2.54: In Exercises 4144, find the standard form equation for the circle.C...
 P.2.P.2.55: In Exercises 4548, find the center and radius of the circle1x  322...
 P.2.P.2.56: In Exercises 4548, find the center and radius of the circle1x + 422...
 P.2.P.2.57: In Exercises 4548, find the center and radius of the circlex 2 + y2...
 P.2.P.2.58: In Exercises 4548, find the center and radius of the circle1x  222...
 P.2.P.2.59: In Exercises 4952, write the statement using absolute value notatio...
 P.2.P.2.60: In Exercises 4952, write the statement using absolute value notatio...
 P.2.P.2.61: In Exercises 4952, write the statement using absolute value notatio...
 P.2.P.2.62: In Exercises 4952, write the statement using absolute value notatio...
 P.2.P.2.63: Determining a Line Segment with Given Midpoint Let 14, 42 be the mi...
 P.2.P.2.64: Writing to Learn Isosceles but Not Equilateral Triangle Prove that ...
 P.2.P.2.65: Writing to Learn Equidistant Point from Vertices of a Right Triangl...
 P.2.P.2.66: Writing to Learn Describe the set of real numbers that satisfy x  ...
 P.2.P.2.67: Writing to Learn Describe the set of real numbers that satisfy x + ...
 P.2.P.2.68: True or False If a is a real number, then Justify your answer.
 P.2.P.2.69: True or False Consider the right triangle ABC shown at the right. I...
 P.2.P.2.70: In Exercises 6063, solve these problems without using a calculator....
 P.2.P.2.71: In Exercises 6063, solve these problems without using a calculator....
 P.2.P.2.72: In Exercises 6063, solve these problems without using a calculator....
 P.2.P.2.73: In Exercises 6063, solve these problems without using a calculator....
 P.2.P.2.74: Dividing a Line Segment into Thirds (a) Find the coordinates of the...
 P.2.P.2.75: Writing to Learn Equidistant Point from Vertices of a Right Triangl...
 P.2.P.2.76: Comparing Areas Consider the four points A10, 02, B10, a2, C1a, a2,...
 P.2.P.2.77: In Exercises 6769, let P1a, b2 be a point in the first quadrant.Fin...
 P.2.P.2.78: In Exercises 6769, let P1a, b2 be a point in the first quadrant.Fin...
 P.2.P.2.79: In Exercises 6769, let P1a, b2 be a point in the first quadrant.Fin...
 P.2.P.2.80: Writing to Learn Prove that the distance formula for the number lin...
Solutions for Chapter P.2: Prerequisites
Full solutions for Precalculus: Graphical, Numerical, Algebraic  8th Edition
ISBN: 9780321656933
Solutions for Chapter P.2: Prerequisites
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. Since 80 problems in chapter P.2: Prerequisites have been answered, more than 43277 students have viewed full stepbystep solutions from this chapter. Chapter P.2: Prerequisites includes 80 full stepbystep solutions.

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Common logarithm
A logarithm with base 10.

Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x)  ƒ(a) x  a provided the limit exists

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Elimination method
A method of solving a system of linear equations

Explanatory variable
A variable that affects a response variable.

Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.

Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

Limit to growth
See Logistic growth function.

Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Order of magnitude (of n)
log n.

Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22  2r1r2 cos 1?1  ?22

Polar equation
An equation in r and ?.

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Random numbers
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).

Reduced row echelon form
A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

Slant line
A line that is neither horizontal nor vertical

Synthetic division
A procedure used to divide a polynomial by a linear factor, x  a