Function Review

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,  $30=2x-5$