Notes on Relations and Functions

Notes on Relations and Functions

Graphing Coordinates

Remember coordinates are written (x,y)

Go in the x direction first and the y direction second.

Multiple Choice

The coordinates of point B is _____?

• (-4,2)

• (-2,4)

• (2,-4)

• (-4,-2)

Multiple Choice

The coordinates of point D is _____?

• (-4,4)

• (4,4)

• (0,-4)

• (-4,0)

Multiple Choice

Point A is also located at the __________________.

• w-axis

• start

• origin

Multiple Choice

What is the ordered pair for point A?

• (1,1)

• (0,0)

• (0, 1)

Multiple Choice

Graph the point (1,7) on the coordinate plane

Relationship

A relationship is an set of ordered pairs.

Domain is the x values or inputs

Range is the y value or outputs

Multiple Choice

A set of ordered pairs is called what?

• An Expression

• A Relation

• A Function

• The Vertical Line Test

Multiple Choice

The domain is the

• x values

• y values

• relation

• ordered pair

Multiple Choice

The range is the

• x values

• y values

• relation

• ordered pair

Multiple Select

Given the coordinates

(1,2) (4,5)

Select all values in the domain

• 1

• 2

• 4

• 5

Multiple Select

Given the coordinates

(1,2) (4,5)

Select all values in the range

• 1

• 2

• 4

• 5

Multiple Choice

What is the Domain?

• {-3, -1, 1, 3, 5, 7, 9}
• {-3, -2, -1, 0, 1, 2, 3}
• -3 ≤ x ≤ 3
• -3 ≤ x ≤ 9

Multiple Choice

Find the RANGE

• {-5, -2, 1, 4}

• {1, -2, 4, -5}

• {-1, 0, 2, 3}

• {0, -1, 2, 3}

Multiple Choice

For the function (0,1), (1,-3), (2,-4), & (-4,1), which choice gives the correct domain & range?

• D: {0, 1, 2, -4}
  R: {1, -3, -4, 1}
• D: {-4, 0, 1, 2}
  R: {-4, -3, 1}
• D: {0, 1, 2, 3, 4}
  R: {1, -3, -4}
• D:  {-4, -3, 1}
  R: {-4, 0, 1, 2}

Function f(x)

read f of x

This is similar to evaluating expressions

2x + 2 when x=-3

is similar to

f(-3) when

f(x) = 2x+1

Fill in the Blanks

Evaluate

x+4 when x=2

Fill in the Blanks

Evaluate

f(2)

f(x) = x + 4

Fill in the Blanks

Evaluate

2x+4

when x=3

Fill in the Blanks

Evaluate

f(3)

f(x) = 2x+4

Fill in the Blanks

If g(x)=2x+5, what is the value of g(4)?

Fill in the Blanks

Solve for x

y=x+2

when y=5

Fill in the Blanks

Solve for x when

y= 8

y = 2x

Fill in the Blanks

Solve for x when

y= 16

y = 3x + 4