Note that for a linear function m msec or in other

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The domain of a constant function is (−∞, ∞). Recall that to graph a function, f , we graph the equation y = f (x). Hence, the graph of a linear function is a line with slope m and y -intercept (0, b); the graph of a constant function is a horizontal line (with slope m = 0) and a y -intercept of (0, b). Now think back to Section 1.7.1, specifically Definition 1.8 concerning increasing, decreasing and constant functions. A line with positive slope was called an increasing line because a linear function with m > 0 is an increasing function. Similarly, a line with a negative slope was called a decreasing line because a linear function with m < 0 is a decreasing function. And horizontal lines were called constant because, well, we hope you’ve already made the connection. Example 2.1.4. Graph the following functions. Identify the slope and y -intercept. 1. f (x) = 3 3. f (x) = 3 − 2x 4 2. f (x) = 3x − 1 4. f (x) = x2 − 4 x−2 Solution. 1. To graph f (x) = 3, we graph y = 3. This is a horizontal line (m = 0) through (0, 3). 2. The graph of f (x) = 3x − 1 i...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online