Identify Domain and Range Table and Graph

Function Review

Algebra Unit 1b

Please make sure to have your math

notebook and pencil ready to go.

Poll

What zone are you in today?

Outcomes

• I can analyze graphs in order to identify domain and range.

• I can analyze graphs, tables, and stories in order to interpret key features in terms of the quantities that the function it represents.

Key Features

on a Graph

Intervals of

increase, decrease and constant

X- and Y-Intercepts

Minimum and Maximum

Intervals

When x values go up..

• Increasing: Y values go UP

• Decreasing: Y values goes DOWN

• Constant: Y values stay the SAME

Multiple Choice

Which domain describes the INCREASING interval?

• 0 < x < 2

• 2 < x < 4

• 8 < x < 10

Multiple Choice

Which domain describes the DECREASING interval?

• 0 < x < 2

• 2 < x < 4

• 8 < x < 10

Multiple Choice

Which domain describes the CONSTANT interval?

• 0 < x < 2

• 2 < x < 4

• 8 < x < 10

Intercepts

• X-intercepts are where the graph touches the X-axis

• Y-intercepts are where the graph touches the Y-axis

Multiple Select

Which of these are x-intercepts?

• ( 0 , 0 )

• ( 0 , 10 )

• ( 10 , 10 )

• ( 10 , 0 )

• ( 0, 6 )

Multiple Choice

How many y-intercepts does this graph have?

• 0

• 1

• 2

• 3

• Infinite

Minimums and Maximums

• Maximum is the highest point on the graph and is written as an ordered pair (6, 4)

• Minimum is the lowest point on the graph and is written as an ordered pair ( 0, 0 ) and ( 10 , 0 )

Just a little review

...before we move on...

Relation or Function?

• Both have sets of ORDERED PAIRS

• Both have INPUTS and OUTPUTS

• Only FUNCTIONS have exactly one output for each input

• Use the VERTICAL LINE TEST to see if a graph is a function.

Function Notation

• Instead of Y, functions use F(x) to show that it's a function

• The notation

   $f\left(4\right)=2x\ -3$  is asking you find the total if x is replaced with 4. 

• F(x) = 30 is asking you to find the value of x if,  $30=2x-5$