# Solving Functions Graphically Worksheets

How to Solve Functions Graphically - A function on a graph represents the inputs and their respective outputs based on a given function. Function table can be represented in both vertical and horizontal ways. In this lesson, we will take a horizontal approach. So, in the examples that we have, the functions will be displayed in two rows. One row will display the input and the other will be displaying the output functions. Let’s take example of a candy bar. We can represent that function in the form of a table. We recognize that we only have \$12 to spend and we can only buy 6 candies as one candy costs \$2. Let's put that information inside the table.
Input: 0 1 2 3 4 5 6
Output: \$0 \$2 \$4 \$6 \$8 \$10 \$12
Based on the table, it gets easier to know how much money would be required to get a specific amount of candies. Function Table Rules Each function is a rule, so every single function table has a certain rule that defines the relationship that exists between the output and the input. If you consider input to be the x value and output to be the y value, a graph can be obtained making a straight line. Sometimes a rule is best described in terms of the words and in some cases the best way to define it is by using an equation.

• ### Basic Lesson

Guides students through solving functions graphically. Sample: Choose this new x value as the center of a domain for graphing parabola. Make a chart of values. Three values are usually tested above and below this x-value.

• ### Intermediate Lesson

Demonstrates the concept of advanced skill while solving functions graphically. How many points are there which satisfy the system?

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the solving functions graphically.

• ### Independent Practice 2

Students use solving functions graphically in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of solving functions graphically.

• ### Skill Quiz

This tests the students ability to understand solving functions graphically.