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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What are asymptotes in a graph?

Back

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

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CCSS.HSF-IF.C.7D

Front

How do you identify vertical asymptotes?

Back

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

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CCSS.HSF-IF.C.7D

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.

Tags

CCSS.HSF-IF.C.7D

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.