Key Features of Graphs Worksheet

Key Features of Graphs

Carefully analyze each graph and answer the questions that follow. Identify the domain, range, intercepts, and intervals of increase or decrease for each function.

1. Consider the graph of the function f(x) shown below:

a) What is the domain of f(x)?

b) What is the range of f(x)?

c) Identify the x-intercept(s).

d) Identify the y-intercept(s).

2. For the graph of a function that increases from (-∞, 2) and decreases from (2, ∞), with a maximum at x = 2, what type of extremum does it have?

3. The set of all possible input values (x-values) for which a function is defined is called the  .

4. A point where the graph of a function crosses or touches the x-axis is known as an  .

5. A function can have more than one y-intercept.

6. Sketch a graph of a function that has a domain of [-4, 4], a range of [0, 5], an x-intercept at (0,0), and is increasing on the interval (-4, 0) and decreasing on the interval (0, 4).