Analyzing & Interpreting Functions & Graphs

Front

What is the maximum point of a graph?

Back

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

Front

What does the coordinate (12.00, 5) represent in a graph?

Back

At 12 o'clock the kayak had traveled 5 km.

Front

What is a y-intercept on a graph?

Back

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

Front

How do you identify zeros of a function on a graph?

Back

Zeros of a function are the x-values where the graph intersects the x-axis, meaning the output (y) is zero.

Front

If each mark on the x-axis represents one second, how do you determine when an object reaches its maximum height?

Back

You find the time at which the graph reaches its highest point, which corresponds to the maximum height.

Front

What is the significance of the ordered pair (0, 4) in a graph?

Back

(0, 4) indicates that when x is 0, the value of the function is 4, representing the y-intercept.

Front

What does it mean if a graph has a zero between two integers?

Back

It means that the function changes sign between those two integers, indicating a root exists in that interval.

Front

How can you interpret the slope of a line on a graph?

Back

The slope represents the rate of change of the function; a positive slope indicates an increase, while a negative slope indicates a decrease.

Front

What is the difference between a maximum and a minimum point on a graph?

Back

A maximum point is the highest point, while a minimum point is the lowest point on the graph.

Front

How do you find the x-intercept of a function?

Back

The x-intercept is found by setting the output (y) to zero and solving for x.