Unit 1.7 – Graph Linear
Functions
Unit 1 – Algebra: Linear
Functions
 1.7 – Graph Linear Functions
 Georgia Performance Standard:
 MM1A1a – Represent functions using function
notation.
 MM1A1b – Graph the basic function f(x) = xn
 MM1A1c – Graph transformations of basic
functions including vertical shifts, stretches, and
shrinks, as well as reflections across the x and yaxes.
Vocabulary
 Function Notation
 f(x) = mx + b
 Family of functions
 Is a group of functions with similar characteristics
 Parent linear function
 Most basic linear function in the family of all linear
functions
What is a function?
 So think of…… f(x) = A machine!
 When you plug in an x-value, you will get out an
f(x)-value.
 Input
 Output
So what do we do with a
function?
 A function has to meet one requirement:
 Every x-value you plug into it has to produce
exactly one output.
 In other words, if you plug x = 1 into a function, you’ll
never get two different answers.
Example:
 What is the value of the function f(x) = -4x -3
when x = -2?
 Steps to Solve:
 Write original function
 Substitute -2 for x
 Simplify
f(x) = -4x-3
f(-2)= 4(-2)-3
=-3
What if you already know
f(x)?
 Plug it into the equation and solve!
 Example:
 For the function f(x) = -4x + 2, find the value of x so
that f(x) = -12
Graphing continued…
 How do we graph a function?
 Same steps as before
 Find b & m
 What is f(x) = x?? And what can we tell from it?
 Shifts (Stretch & Shrink)
 Parallel & Perpendicular
Unit 1.8
Unit 1 – Algebra: Linear
Functions
 1.8 – Predict with Linear Models
 Georgia Performance Standard:
 MM1A1d- Investigate and explain the
characteristics of a function: domain, range,
zeros, intercepts, intervals of increase and
decrease, maximum and minimum values, and
end behavior.
Vocabulary
 Best-fitting line:
 The line that most closely follows a trend in data
 Zero of a function:
 y= f(x) is an x-value for which f(x) = 0