Chapter 2 Concepts and Vocabulary

If the point (5, -3) is point on the graph of f, then f(__)=____.

5; -3

An ____ function f is one for which f(-x) = f(x) for every x in the domain of f; an _____ function f is one for which f(-x) = -f(x) for every x in the domain of f.

Even; odd

T or F. A function can have more than one y intercept

False

T or F. Even functions have graphs that are symmetric with respect to the origin.

False

T or F. Every relation is a function.

False

T or F. If no domain is specified for a function f, then the domain of f is taken to be the set of real numbers.

False

T or F. The graph of a function y=f(x) always crosses the y-axis.

False

A function f is _____ on an open interval I if, for any choice of x1 and x2 in I, with x1<x2, we have f(x1) < f(x2).

Increasing

If f is a function defined by the equation y=f(x), then x is called the ______ variable and y is the ______ variable.

Independent; dependent

The set of all images of the elements in the domain of a function is called the _______.

Range

T or F. A function f has a local maximum at c if there is an open interval I containing c so that for all x in I, F(x) -less than or equal to- F(c).

True

T or F. A function f is decreasing on an open interval I if, for any choice of x1 and x2 in I, with x1<x2, we have f(x1)>f(x2).

True

T or F. The domain of (f x g)(x) consists of the numbers x that are in the domains of both f and g.

True

T or F. The independent variable is sometimes referred to as the argument of the function.

True

T or F. The y-intercept of the graph of the function y=f(x), whose domain is all real numbers, is f(0).

True

A set of points in the xy-plane is the graph of a function if and only if every _____ line intersects the graph in at most one point.

Vertical