Basic characteristics of a function graph

The video tutorial covers graph analysis, focusing on domain, range, intervals of change, discontinuities, extrema, symmetry, boundaries, and intercepts. It explains how to determine the domain and range, identify increasing, decreasing, and constant intervals, recognize discontinuities, and analyze extrema. The tutorial also discusses symmetry, graph boundaries, and behavior, concluding with an explanation of intercepts.

What is the domain of a graph that extends infinitely in both directions along the x-axis?

• Numbers between -10 and 10

• All real numbers

• Only positive numbers

• Only negative numbers

How do you determine the range of a graph?

• By looking at the slope

• By looking at the intercepts

• By looking at the y-values

• By looking at the x-values

Which interval describes a graph that is increasing?

• From a point to infinity

• From negative infinity to a point

• From a point to another point

• From infinity to negative infinity

What is a discontinuity in a graph?

• A point where the graph is increasing

• A point where the graph is constant

• A point where the graph is undefined

• A point where the graph is decreasing

What is a relative maximum in a graph?

• A point higher than nearby points

• A point lower than all others

• A point higher than all others

• A point lower than nearby points

How can you determine if a graph is symmetric?

• By checking if it is bounded

• By checking if it has intercepts

• By checking if it is even or odd

• By checking if it has extrema

What does it mean if a graph is bounded below?

• It has a minimum height

• It is symmetric

• It has no limits

• It has a maximum height