PreCalculus Chapter 1 Functions and Their Graphs

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PreCalculus Chapter 1 Functions and Their Graphs
Day 1
1.7 Linear Models




Graph a line.
Draw a scatterplot by hand and on a calculator.
Interpret r (correlation).
Use scatterplots to find linear models for data.
Rule of Thumb
Pg. 78 (3-6)
Day 2
1.1
Linear Application

Write an equation of a line using a point and a
slope.
Find slope and y-intercept for a line from a graph
and from an equation.
Interpret the slope and y-intercept of a line.
Linear Equations
problems
Determine whether a relation represents a function
from a mapping diagram, table, ordered pairs, or
graph (Vertical Line Test).
Graph and evaluate a piecewise function at a
specified value.
Find the domain and range of a function.
From a graph, determine relative minimum and
maximums as well as intervals on which a
function is increasing, decreasing, or constant.
Determine if a function is even or odd
algebraically and graphically.
Pg. 24 (2, 5, 6, 13, 15,
17, 34, 41, 56, 57, 64,
66)
Pg. 38 (6-9, 15-17, 21,
34, 44, 47, 77, 79)
Sketch graphs of parent functions by hand.
(y=x y=x2, y=x3, y=x, y=x)
Describe a graph in words by its transformations.
Graph a function that is a transformation.
Pg. 48 (4, 9, 10, 65-68)
Words only Pg. 48 (22,
24, 27, 28, 29, 36)
Find the sum, difference, product, quotient, and
compositions of functions.
Algebraically find the inverse of a function.
Verify two functions are inverses algebraically,
numerically, and graphically.
Use the Horizontal Line Test to determine if a
function is one-to-one and so has an inverse
Task Rotation


Day 3
1.2 / 1.3
Functions and
Graphs





Day 5
1.4
Transformations of
Functions

Day 6
1.5 / 1.6
Compositions &
Inverse Functions





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Day 7
Chapter 1 Review
Day 8
Chapter 1 Test
Bones
Pg. 58 (5, 35, 36, 83,
85)
Pg. 69 (9, 14, 111-114)
Chapter 1 Review WS
Chapter 1 Test
1.7 Linear Models
 Graph a line.
 Draw a scatterplot by
hand and on a
calculator.
 Interpret r
(correlation).
 Use scatterplots to
find linear models for
data.
1.1 Linear Application
 Write an equation of
a line using a point and
a slope.
 Find slope and yintercept for a line
from a graph and from
an equation.
 Interpret the slope
and y-intercept of a
line.
1.2/1.3 Functions
 Determine whether a
relation represents a
function from a
mapping diagram,
table, ordered pairs, or
graph (Vertical Line
Test).
 Graph and evaluate a
piecewise function at a
specified value.
 Find the domain and
range of a function.
 From a graph,
determine relative
minimum and
maximums as well as
intervals on which a
function is increasing,
decreasing, or constant.
 Determine if a
function is even or odd
1.4 Transformations
 Sketch graphs of
parent functions by
hand.
2
3
(y=x y=x , y=x ,
y=x, y=x)
 Describe a graph in
words by its
transformations.
 Graph a function that
is a transformation.
1.5/1.6 Compositions
and Inverses
 Find the sum,
difference, product,
quotient, and
compositions of
functions.
 Algebraically find
the inverse of a
function.
 Verify two functions
are inverses
algebraically,
numerically, and
graphically.
 Use the Horizontal
Line Test to determine
if a function is one-toone and so has an
inverse
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