Introductions to functions
- 1. Introductions to Functions Learning what functions are and how to compute Functions 8th Grade Algebra Vanessa Swisher
- 2. Objectives • Goal is to understand and begin to compute functions • Beginning thoughts of deep thought of functions should begin to form
- 3. Imagine… • Think about different problems you may be facing in your life • If you could find solutions for many different problems, that would be great! • A function is a recipe to figure out the solution to problems
- 4. • Functions are one giant recipe that allows you to put in a problem and find an answer • This should begin by starting with 0 or 1 as base “problems” to find a solution to
- 5. Importance of Functions • - Solves problems in daily lives, medical field, engineering, architecture, etc • - Builds foundational mathematical skills • - Easy Translation Formulas
- 6. Visual Example A video from MathEase explains this concept very well
- 7. Let’s Try One Together • F(x) = 5x + 3 = y • X is our input; Y is our output. • What is Y if X is 2?
- 8. Let’s Try One Together • F(x) = 5x + 3 = y • X is our input; Y is our output. • What is Y if X is 2? • F(2) = 5 (2) + 3 = 13 • Y = 13
- 9. Organization • Organization is key in function solving • Good organizational tools such as T Charts are used to for functions
- 10. T Charts
- 11. Graphs • Graphs are a good way to show relationships of functions • Using functions you can find the slope, intercepts, and vertices of functions
- 12. Intercepts and Slopes • You can find the x and y intercepts by using 0 as the input or output • You can find the slope by subtracting two points to find the rise over run
- 14. Now Let’s Try • F(x) = 5x + 3 • What is the X and Y intercepts?
- 15. Now Let’s Try • F(x) = 5x + 3 • What is the Y intercept? F(0) = 5(0) +3 = 3 As you can see, the y intercept will always be the added on subtracted number in a simple function (as you can see the blues match)
- 16. Now Discuss.. • Talk with a neighbor next to you.. • What are 2 reasons why functions are important. • What is a visual ways functions can be shown.