 15.1.5.1: Without using a calculator, match the equations (a) (f) to the grap...
 15.1.5.2: Without a calculator, match the equations (a)(g) to the graphs (I)(...
 15.1.5.3: Figure 1.45 gives lines, A, B, C, D, and E. Without a calculator, m...
 15.1.5.4: Without a calculator, match the following functions to the lines in...
 15.1.5.5: (a) By hand, graph y = 3 and x = 3. (b) Can the equations in part (...
 15.1.5.6: Are the lines in Exercises 611 perpendicular? Parallel? Neither?y =...
 15.1.5.7: Are the lines in Exercises 611 perpendicular? Parallel? Neither?y =...
 15.1.5.8: Are the lines in Exercises 611 perpendicular? Parallel? Neither?y =...
 15.1.5.9: Are the lines in Exercises 611 perpendicular? Parallel? Neither?y =...
 15.1.5.10: Are the lines in Exercises 611 perpendicular? Parallel? Neither?f(q...
 15.1.5.11: Are the lines in Exercises 611 perpendicular? Parallel? Neither?2y ...
 15.1.5.12: Sketch a family of functions y = 2 ax for five different values of ...
 15.1.5.13: Find the equation of the line parallel to 3x + 5y = 6 and passing t...
 15.1.5.14: Find the equation of the line passing through the point (2, 1) and ...
 15.1.5.15: Find the equations of the lines parallel to and perpendicular to th...
 15.1.5.16: Estimate the slope of the line in Figure 1.47 and find an approxima...
 15.1.5.17: Line l in Figure 1.48 is parallel to the line y = 2x + 1. Find the ...
 15.1.5.18: Find the equation of the line l2 in Figure 1.49.
 15.1.5.19: The cost of a Frigbox refrigerator is $950, and it depreciates $50 ...
 15.1.5.20: You need to rent a car and compare the charges of three different c...
 15.1.5.21: Line l is given by y = 3 2 3 x and point P has coordinates (6, 5). ...
 15.1.5.22: Assume A, B, C are constants with A = 0, B = 0. Consider the equati...
 15.1.5.23: Fill in the missing coordinates for the points in the following fig...
 15.1.5.24: Using the window 10 x 10, 10 y 10, graph y = x, y = 10x, y = 100x, ...
 15.1.5.25: Graph y = x + 1, y = x + 10, and y = x + 100 in the window 10 x 10,...
 15.1.5.26: The graphical interpretation of the slope is that it shows steepnes...
 15.1.5.27: Positive slope, positive yintercept
 15.1.5.28: Perpendicular to the line y = ( 7)x 3.
 15.1.5.29: A circle of radius 2 is centered at the origin and goes through the...
 15.1.5.30: Find an equation for the altitude through point A of the triangle A...
 15.1.5.31: Fill in the missing coordinates in Figure 1.52. Write an equation f...
 15.1.5.32: Two lines are given by y = b1+m1x and y = b2+m2x, where b1, b2, m1,...
Solutions for Chapter 15: GEOMETRIC PROPERTIES OF LINEAR FUNCTIONS
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 15: GEOMETRIC PROPERTIES OF LINEAR FUNCTIONS
Get Full SolutionsSince 32 problems in chapter 15: GEOMETRIC PROPERTIES OF LINEAR FUNCTIONS have been answered, more than 18610 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15: GEOMETRIC PROPERTIES OF LINEAR FUNCTIONS includes 32 full stepbystep solutions.

Cycloid
The graph of the parametric equations

Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.

Function
A relation that associates each value in the domain with exactly one value in the range.

Geometric series
A series whose terms form a geometric sequence.

Horizontal translation
A shift of a graph to the left or right.

Inverse properties
a + 1a2 = 0, a # 1a

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x

Logarithmic regression
See Natural logarithmic regression

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Modulus
See Absolute value of a complex number.

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Reexpression of data
A transformation of a data set.

Real zeros
Zeros of a function that are real numbers.

Sequence
See Finite sequence, Infinite sequence.

Series
A finite or infinite sum of terms.

Trigonometric form of a complex number
r(cos ? + i sin ?)

Wrapping function
The function that associates points on the unit circle with points on the real number line

Ymin
The yvalue of the bottom of the viewing window.