## Evaluating Advanced Functions

#### Aligned To Common Core Standard:

**High School Interpreting Functions** - HSF-IF.A.2

What Are f(x) Input-Out Tables? Input and output tables are not a new concept in algebra. These refer to the diagrams that help in identifying the basic functions. These tables are commonly used to find out the pair of coordinates that are based on the rule of the function. As you fill in the tables, a coordinate pair is produced that helps in constructing the graph. Here, the value of x is the input, applied to the function whereas the output is f(x), or the answer you will get when you substitute the value of x into the function. In input-output tables, the function is mostly represented by f(x) rather than y. This shows that f is a function of x. This is simplified with the help of input-output tables. Looking at the first input, the output yield will be 1 with method 3(0) +1=1. Taking the second input as 1, the second output will be 4, and like this, all the outputs can be achieved and plotted on a graph. A massive series of lesson and worksheets that help students tackle upper level functions from all aspects.

### Printable Worksheets And Lessons

- An f(x) Input-Output Table Step-by-step Lesson- We slowly advance you forward with this skill. Sometimes it can be a bit overwhelming.

- Guided Lesson - Exponents and roots get more involved with this set.

- Guided Lesson Explanation - I kind of expect students to have mastered algebraic operations at this point when explaining the value.

- Practice Worksheet - This worksheet might take students a good stretch of time. Remember each problems has three to four parts to it.

- Matching Worksheet - Match the starting tables to the final outcomes. This is set up so that students can easily follow it.

#### Homework Sheets

These problems really start spreading to higher levels of thought.

- Homework 1 - Use the function table to complete all the outputs.
- Homework 2 - To evaluate expressions with square roots, first simplify the quantity under the square root and take the square root. Then perform any other operations.
- Homework 3 - The first x-values into the tables.

#### Practice Worksheets

We always recommend that you have students write a small outline of the steps they are going to take to solve the problem before they start.

- Practice 1 - Notice that they end in f (z) and f (x) values.
- Practice 2 - Use the following function rule to find f (170).
- Practice 3 - More table work for you.

#### Math Skill Quizzes

The quizzes in this section might take a little extra time than previous work.