Unit 1 Lesson 3: Introduction to Linear Functions Properties and Function Notation
(Book Reference: 2.1)
Objective: ______________________________________________________________
1. Do Now: Find the slope, y-intercept, and x-intercept of the function f ( x)  3 x  4
2. Guided Practice: Properties of Linear Functions and Function Notation
4
Given the following function, f ( x)  5  x , answer the following questions.
3
1. Find f(-3). Write as a coordinate point.
Key Notes/Reminders
2. Find when f(x) = 1. Write as a
coordinate point.
3. Find the slope of the function.
4. Find the y-intercept of the function and
write the y-intercept as a coordinate
point. Explain what it means to be a yintercept of a function.
5. Find the x-intercept of a function and
write the x-intercept as a coordinate
point.
6. Graph the function on the coordinate
plane to the right and make sure your
answer for 1-5 make sense according to
your graph. Label two coordinate points
on the graph, your x-intercept, and yintercept.
9 y
8
7
6
5
4
3
2
1
-9 -8 -7 -6 -5 -4 -3 -2 -1-1
-2
-3
-4
-5
-6
-7
-8
-9
1 2 3 4 5 6 7 8 9
x
Summary:
1. What is a linear function in your own words?
2. What is function notation and why is it useful?
3. Explain how you find an x-intercept of a linear function and a y-intercept of a linear function.
3. Group Practice: Given the following function, g ( x) 
5
x  4 , answer the following questions.
4
1. Find g(-1) and g(0). Write as coordinate points.
2. Find when g(x) = -1 and when g(x) =7. Write as coordinate points.
3. Find the slope of the function.
4. Find the y-intercept of the function g(x). write the y-intercept as a coordinate point.
5. Find the x-intercept of g(x) and write the x-intercept as a coordinate point.
6. Sketch a graph of the function. Make sure your answers for 1-5 make sense according to
the graph. Label two coordinate points on the graph, your x-intercept, and y-intercept.
Homework: Journal 1.4