MAT 106
HW #3
Name _
Date:
Show all work. Write neatly, in an organized and logical way that others can follow and understand.
1. A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5 yellow
balls. Find the probability of the
1.4 Graphs of Functions &
P.4 Rational Expressions
1.4 Graphs of Functions
Domain and Range of a Function
Vertical Line Test
Increasing and Decreasing Functions
Relative Minimum and Maximum Values
Step Functions and Piecewise-Defined Functions
Even
1.4 Graphs of Functions &
P.4 Rational Expressions
1.4 Graphs of Functions
Domain and Range of a Function
Vertical Line Test
Increasing and Decreasing Functions
Relative Minimum and Maximum Values
Step Functions and Piecewise-Defined Functions
Even and Od
1.6
Combinations of Functions &
P.6 Exploring Data
1.6 Combinations of Functions
Arithmetic Combinations of Functions
Composition of Functions
P.6 Exploring Data
Line Plots
Histograms and Frequency Distributions
Bar Graphs
*
Sum, Difference, Product, and
1.7
Inverse Functions
Definition: Let f and g be two functions such that
f(g(x) = x for every x in the domain of g, and
g(f(x) = x for every x in the domain of f.
Under these conditions, the function g is the inverse function of
the function f.
The functi
1.5
Shifting, Reflecting, and Stretching Graphs &
P.5 The Cartesian Plane
1.5 Shifting, Reflecting, and Stretching Graphs
Summary of Graphs of Common Functions
Vertical and Horizontal Shifts
Reflecting Graphs
Nonrigid Transformations
P.5 The Cartesian Pla
1.1
Graphs of Equations &
P.1 Real Numbers
The relationship between two quantities is often expressed by an
equation.
Definitions:
For an equation in the variables x and y, a point (a, b) is a solution
point if the substitution of
x = a and y = b satisfie
1.2 Lines in the Plane &
P.2 Exponents and Radicals
Definition: The slope m of the nonvertical line passing
through the points (x1, y1) and (x2, y2) is
m
y2
x2
y1
or m = (change in y)/(change in x) for
x1
x1
x2
Find the slope of the line passing through e