Key Features of Graphs

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

Front

How do you find the y-intercept from a graph?

Back

To find the y-intercept, look for the point where the graph intersects the y-axis.

Front

What is the domain of a graph?

Back

The domain is the set of all possible x-values for which the function is defined.

Front

What does it mean if the domain is 'All real numbers'?

Back

It means that the function is defined for every possible x-value.

Front

What are asymptotes in a graph?

Back

Asymptotes are lines that the graph approaches but never touches or crosses.

Front

How do you identify vertical asymptotes?

Back

Vertical asymptotes occur at x-values where the function approaches infinity or is undefined.

Front

What are zeros of a function?

Back

Zeros are the x-values where the graph intersects the x-axis, meaning the function equals zero.

Front

How do you find the zeros of a graph?

Back

To find the zeros, look for the points where the graph crosses the x-axis.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function by checking if any vertical line intersects the graph at more than one point.

Front

What does it mean if a graph fails the vertical line test?

Back

If a graph fails the vertical line test, it means that it is not a function because there are repeating x-values.