Key Features of Graphs

Front

What is a constant interval in a graph?

Back

An interval where the function's value does not change, resulting in a horizontal line.

Front

How do you determine the number of roots a function has?

Back

By finding the x-values where the graph intersects the x-axis.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the function's value decreases.

Front

How do you identify the interval of decrease on a graph?

Back

Look for sections of the graph where the slope is negative.

Front

What is a y-intercept?

Back

The point where the graph intersects the y-axis, represented as (0, y).

Front

How can you find the y-intercept of a function?

Back

Set x = 0 in the function's equation and solve for y.

Front

What is the significance of the x-axis in a graph?

Back

It represents the input values (x) of the function.

Front

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

Back

The function's output remains the same for all input values in that interval.

Front

What is the difference between increasing and decreasing intervals?

Back

Increasing intervals have a positive slope, while decreasing intervals have a negative slope.

Front

How do you find the interval where a function is increasing?

Back

Identify sections of the graph where the slope is positive.