1 / 10

WARM UP

WARM UP. 3. Solve the equation 4x + 8 = 24 3x – 5x = -12 3x + 9 = 9x - 7. WARM UP. 2. Solve the equation x + 6 = 14 9 – y = 4 4x + 5y =15. WARM UP. 1. Solve the equation x + 6 = 14 9 – y = 4 4x + 5y =15. WARM UP. 0. Solve the equation x + 6 = 14 9 – y = 4 4x + 5y =15.

naomi
Download Presentation

WARM UP

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. WARM UP 3 Solve the equation 4x + 8 = 24 3x – 5x = -12 3x + 9 = 9x - 7

  2. WARM UP 2 Solve the equation x + 6 = 14 9 – y = 4 4x + 5y =15

  3. WARM UP 1 Solve the equation x + 6 = 14 9 – y = 4 4x + 5y =15

  4. WARM UP 0 Solve the equation x + 6 = 14 9 – y = 4 4x + 5y =15

  5. 4.8 Functions and Relations Today’s Schedule: Lesson 4.8 Powerpoint In class assignment/homework Exit Slip GOAL: Decide whether a relation is a function and use function notation. KEY WORDS: relation, function, vertical line test, function notation, linear function.

  6. 4.8 Functions and Relations FUNCTION NOTATION When a function is defined by an equation, it is often convenient to name the function. Just as x is commonly used as a variable, the letter f is commonly used to name a function. To write a function using FUNCTION NOTATION, you use f(x) in place of y. x-y notation: y = 3x + 2 function notation: f(x) = 3x + 2

  7. 4.8 Functions and Relations SOLUTION You can evaluate a function for a given value by substituting the iven value for the variable and simplifying. EXAMPLE 3: Evaluate a Function Evaluatef(x) = 2x -3 when x = -2 • Write the original function. • Substitute -2 for x. • Simplify.

  8. 4.8 Functions and Relations a. Evaluate f(x) = 4x + 5 when x = 2 b. Evaluate g(x) = x2when x = 3 CHECKPOINT: Evaluate a Function

  9. 4.8 Functions and Relations LINEAR FUNCTION A function is called a linear function if it is of the form f(x) = mx + b. For instance, the function in Example 3 part a is linear. But, the function in Example 3 part b is not linear. To graph a linear function, rewrite the function using x-y notation.

  10. 4.8 Functions and Relations SOLUTION • Rewrite the function in x-y notation. • Find the slope and the y-intercept • Use slope to find a second point • Draw a line through the two points EXAMPLE 4: Graph a Linear Function Graphf(x) = -2x + 3

More Related