- 1-4.1: Flashlight Problem: You shine a flashlight, making a circular spot ...
- 1-4.2: Bacterial Culture Problem: When you grow a culture of bacteria in a...
- 1-4.3: Two Linear Functions 1: Let f and g be defined by f(x) = 9 x 4 x 8 ...
- 1-4.4: Quadratic and Linear Function Problem: Let f and g be defined by f(...
- 1-4.5: Square Root and Linear Function Problem: Let f and g be defined by ...
- 1-4.6: Square Root and Quadratic Function Problem: Let f and g be defined ...
- 1-4.7: Square and Square Root Functions: Let f and gbe defined byf(x) = x2...
- 1-4.8: Linear Function and Its Inverse Problem: Let f and g be defined by ...
- 1-4.9: For 9 and 10, find what transformation will transform f (dashed gra...
- 1-4.10: For 9 and 10, find what transformation will transform f (dashed gra...
- 1-4.11: Horizontal Translation and Dilation Problem: Let f, g, and h be def...
Solutions for Chapter 1-4: Composition of Functions
Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition
Complex numbers a + bi and a - bi
Compounded k times per year
Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.
Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists
See Equilibrium point.
Point where a curve crosses the x-, y-, or z-axis in a graph.
a + 1-a2 = 0, a # 1a
Inverse sine function
The function y = sin-1 x
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a
Any of the real numbers in a matrix
Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc
Multiplicative inverse of a matrix
See Inverse of a matrix
Multiplicative inverse of a real number
The reciprocal of b, or 1/b, b Z 0
Natural logarithmic regression
A procedure for fitting a logarithmic curve to a set of data.
Angle generated by clockwise rotation.
A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.
Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.
Positive linear correlation
See Linear correlation.
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.
Behavior that is determined only by the laws of probability.
Usually the third dimension in Cartesian space.