Key Features of Graphs

Front

What is the x-intercept of a graph?

Back

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

Front

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

Back

The range of a function is the set of all possible output values (y-values) that the function can produce, often determined by the highest and lowest points on the graph.

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 can you find the y-intercept from a function's equation?

Back

To find the y-intercept from a function's equation, set x = 0 and solve for y.

Front

What does it mean for a graph to be constant over an interval?

Back

A graph is constant over an interval if the output (y-value) does not change as the input (x-value) varies within that interval.

Front

How do you identify the intervals where a graph is increasing?

Back

A graph is increasing on intervals where the y-values rise as the x-values increase.

Front

What is the significance of the vertex in a quadratic graph?

Back

The vertex is the highest or lowest point of a parabola, indicating the maximum or minimum value of the function.

Front

How can you determine if a function is even or odd from its graph?

Back

A function is even if its graph is symmetric about the y-axis and odd if it is symmetric about the origin.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean for a graph to have a vertical asymptote?

Back

A vertical asymptote is a line that the graph approaches but never touches or crosses, indicating a value where the function is undefined.