Anything Goes
Domain and Range
Key Features of Graphs
Set builder notation
100

How can you find x and y intercepts?

Look where they cross the axis or plug in zero for the opposite letter.

100

State the definition of the domain and range of a function.

The domain is all of the x values of a function.

Range is all of the y values of a function.

100

What is/are the x-intercept(s) of this function?


(-4,0)

(3,0)

100

How do you write negative infinity to infinity in set builder notation?

All reals {capital R}

200

What are the other names for x intercepts?

Solutions, roots and zeros

200

What is the difference between increasing and decreasing?

Increasing is where the graph is going up. Decreasing is where the graph is going down.

200

What is the interval of increase for the function below?


Increase: (3, +infinity)

200

Write in set builder notation: (- inifinty, -2)

x < -2

300
If the x-intercept and the y-intercept are the same, what must that order pair be?

(0,0)

300

What is the range of the function graphed below?


Domain: (-infinity, 4]

300

Does the function below increase from (4,8)



Yes

300

Write in set builder notation: (-10, 4)

-10 < x < 4

400

How do you know when a function is positive or negative?

Positive if the y value is greater than zero so above the graph.

Negative if the y value is less than zero or below the graph.

400

What is the domain of the function graphed below?


Domain: (-infinity, 4]

400

What is the negative interval of this graph?


(-9, infinity)

400

Write in set builder notation: (0, infinity)

x > 0

500

Write the Domain of (-5,6] as an inequality.

-5<x≤6

500

What is the domain and range of the graph below?


Domain: [-4,3)

Range: (-5,5)

500

What is the domain, range, increasing, and decreasing of the function below


Domain: All Real Numbers 

Range: [-3, + infinity)

Increase: (2, + infinity)

Decrease: (-infinity, -3)

500

What do the brackets mean when writing in set builder notation: [ 3, 20 ]

Definite pts at 3 and 20. You would write it with and or equal to.