﻿ Reading Information from the Graph of a Function

# READING INFORMATION FROM THE GRAPH OF A FUNCTION

• PRACTICE (online exercises and printable worksheets)

Suggested Review:   Graphs of Functions from the Algebra II curriculum

You must be able to read a wide variety of information from the graph of a function:

• function values
• function values on lines between two known points
• domain of the function (using correct set notation)
• range of the function (using correct set notation)
• where the function increases/decreases/is constant
• sets of inputs for which the output has specified properties

EXAMPLE:

The graph of a function $\,f\,$ is given below. $f(0) = 10$

$f(1) = 0$

$f(2.03) = -10$

$\text{dom}(f) = [-2,3)$

$\text{ran}(f) = [-10,20)$

$f$ increases on $[-2,0)$

$f$ decreases on $[0,2]$

$f$ is constant on $[2,3)$

$\{x\ |\ f(x) = 10\} = \{-2,0\}$

$\{t\ |\ f(t) \gt 0\} = [-2,1)$

How can we tell this is the graph of a function?   It passes the vertical line test.
Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
basic function models you must know
On this exercise, you will not key in your answer.
However, you can check to see if your answer is correct.

Be careful! The number labels are a bit below and to the right of the tick marks!