Algebra I - U4L6 - Features of Graphs

Front

What is the definition of a maximum in the context of a graph?

Back

The maximum is the highest point on the graph, representing the greatest value of the function.

Front

What is the definition of a minimum in the context of a graph?

Back

The minimum is the lowest point on the graph, representing the least value of the function.

Front

How do you express a minimum in function notation?

Back

A minimum can be expressed in function notation as Q(x) = y, where (x, y) is the coordinate of the minimum point.

Front

What is a horizontal intercept?

Back

A horizontal intercept is the point where the graph crosses the horizontal axis (x-axis), indicating the value of x when y = 0.

Front

What does it mean if a function has no horizontal intercept?

Back

It means that the graph does not cross the x-axis, indicating that the function does not have any real solutions for y = 0.

Front

What does the function Q(s) = 0 represent in a real-world context?

Back

It represents the point at which the variable Q reaches a value of zero, such as when an object reaches the ground.

Front

What is the significance of the vertical intercept in a graph?

Back

The vertical intercept is the point where the graph crosses the vertical axis (y-axis), indicating the value of y when x = 0.

Front

How can you determine the maximum value of a function from its graph?

Back

The maximum value can be determined by identifying the highest point on the graph.

Front

What is the relationship between the features of a graph and the behavior of the function it represents?

Back

The features of a graph, such as maxima, minima, and intercepts, provide insights into the behavior and characteristics of the function.

Front

What does it mean for a function to be increasing or decreasing on an interval?

Back

A function is increasing on an interval if the y-values rise as x-values increase, and decreasing if the y-values fall as x-values increase.