Understanding Function Notation and Graphing

This lesson covers graphing functions by plotting points, understanding function notation, and addressing common misunderstandings. It explains how to graph quadratic, absolute value, and linear functions using tables of values. The lesson also demonstrates how to identify functions from given graph points, emphasizing that each point on the graph is a solution where y equals f(x).

What does the notation f(x) represent in function notation?

• The sum of f and x

• The function f evaluated at x

• f times x

• The difference between f and x

If f(x) = x^2, what is f(2)?

• 8

• 16

• 4

• 2

How can you graph a function like f(x) = |x + 2|?

• By using a calculator

• By guessing the shape

• By drawing a straight line

• By plotting points from a table of values

What is the first step in identifying a function from a graph?

• Testing points on the graph

• Guessing the function

• Drawing a new graph

• Ignoring the graph

If a point on the graph is (-4, 1), which function could it belong to?

• f(x) = x + 5

• f(x) = x - 3

• f(x) = x + 4

• f(x) = x + 1