Understanding Domain and Range from Graphs

This video tutorial explains how to find the domain and range of a function using a graph. It covers the basic concepts of domain and range, providing step-by-step instructions on how to identify these from a graph. The video includes examples, such as a half parabola and a discontinuous function, to illustrate the process. The tutorial emphasizes understanding the x-values for domain and y-values for range, using interval notation to express these values.

What is the domain of a function when given a graph?

• All the x-values used

• All the y-values used

• All the points on the graph

• All the values not used

How do you determine the range of a function from a graph?

• List all x-values used

• List all y-values used

• List all points on the graph

• List all values not used

In the square root function example, what is the domain?

• 0 to Infinity

• 4 to Infinity

• -Infinity to 4

• -Infinity to 0

For the square root function, what is the range?

• -Infinity to 0

• -Infinity to 4

• 0 to Infinity

• 4 to Infinity

In the half-parabola example, why is zero not included in the domain?

• Because it is a closed circle

• Because it is an open circle

• Because it is a minimum point

• Because it is a maximum point

What is the range for the half-parabola graph?

• -Infinity to 0

• -5 to Infinity

• 0 to Infinity

• -Infinity to 5

How is the domain determined for a non-continuous function?

• By including only y-values

• By excluding gaps in the graph

• By including all x-values

• By excluding all x-values

What does an arrow on a graph indicate about the domain or range?

• It is a minimum point

• It is a maximum point

• It continues indefinitely

• It stops at a certain point

In the non-continuous function example, what is the domain?

• -Infinity to -6 and 8 to Infinity

• -Infinity to 8

• -6 to 8

• -6 to Infinity

What is the range for the non-continuous function?

• -Infinity to 5 and 0 to Infinity

• -5 to Infinity

• -Infinity to 0

• 0 to 5