## Day 4 - Function Notation, Domain & Range

__TODAY'S AGENDA__

**SMILE because there is not enough space for happiness and sadness at the same time on our faces.**

__TODAY'S AGENDA__

1) Review "Introduction to Functions Worksheet" VLT

2)

3)

4) HW: Complete the handouts

I will use proper notation for writing functions, domain, and range.

2)

**WARM UP**: The video3)

**LESSON**: 1.2 Function Notation, 1.4 Domain & Range4) HW: Complete the handouts

__LEARNING GOAL__I will use proper notation for writing functions, domain, and range.

__HANDOUTS__

Day 3 - Function Notation, Domain & Range HANDOUT | |

File Size: | 190 kb |

File Type: | doc |

__WARM UP__

__LESSON: 1.2 Function Notation__

It is useful to give a function a

The most common name is "

But let's use "

**name**.The most common name is "

**f**", but we can have other names like "**g**", "**h**", etc.But let's use "

**f**":Copied from www.mathisfun.com

To

= 20a + 5 + 2

= 20a + 7

**,**__evaluate__f(a)**a for "**__substitute__**x**" in the equation for**f(x)**.__Example__:**f(x) = 5x + 2****a)**f(**3**) = 5(**3**) + 2 = 15 + 2 = 17**b)**f(**4a + 1**) = 5(**4a + 1**) + 2= 20a + 5 + 2

= 20a + 7

__YOUR TURN__**g(x) = 2x^2 - 3x + 1 (Read: 2x squared minus 3x plus 1)**

**a)****g(1) = ?****b) g(-1) = ? c) g(2a-1) = ?**

__LESSON: 1.4 Domain and Range__

Domain: The domain is all the values that go into function. In other words, the possible values of x (input values).How to state DomainD: {x|x∈R} It means x such that x can be any value in the Real numbers."∈" is the symbol meaning "in the set of" : The range is all the values that come out. In other words, the possible values of y (output values).RangeHow to state RangeR: {y|y≥5, y∈R} It means y such that y is greater than or equal to 5, where y is a Real number. |

**Example 1****- State**the

__domain__and

__range__of the following relation: (

**eye color**,

**student's name**).

**- State**whether the relation is a function.

**A**= {(blue,Jacob),(green,Luke),(brown,Parsa),(blue,Sunna),(brown,Jack),(green, Riju)}

## Solution

## D:{blue, green,brown}

R:{Jacob, Luke, Parsa, Sunna, Jack, Riju}

This is not a function because the eye colours are repeated.

__Example 2__**- State**the

__domain__and

__range__of the following relation:

**- State**whether the relation is a function.

{(1,3), (-2,7), (3,-3), (4,5), (1,-3)}

## Solution

## Domain: {-2, 1, 3, 4}.

Range: {-3, 3, 5, 7}.

While these listings appear in ascending order, ordering is not required. Do not, however, duplicate an element.

No, this relation is not a function. The x-value of "1" had two corresponding y-values (3 and -3).

__Example 3__**State**the domain and range for the elements matched in the diagram below.

**State**whether the matches form a function.

__Example 4__**State**the domain and range associated with the scatter plot shown below.

**State**whether the scatter plot is a function.

__Example 5__**State**the domain and range associated with the scatter plot shown below.

**State**whether the scatter plot is a function.