Analyzing Graphs of Functions

Front

What do you use to determine where a graph is increasing or decreasing?

Back

x-values

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

Identify the intervals where the graph is decreasing: ( -∞, -2 ) U ( 2, ∞ ) or ( -∞, 0 ) U ( 4, ∞ )?

Back

( -∞, -2 ) U ( 2, ∞ )

Front

For what intervals of x is f(x) positive?

Back

(-∞, -2) U (2, ∞)

Front

For what intervals of x is f(x) decreasing?

Back

(-1, 4)

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, f(x) decreases.

Front

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

Back

Set f(x) = 0 and solve for x.

Front

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

Back

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

Front

What does the term 'asymptote' refer to in graphing?

Back

An asymptote is a line that a graph approaches but never touches.