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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Functions

Enrich Your Math Word Power



For each mathematical term, choose the correct meaning.



1

composition of f and g
A)the function f º g where ( f º g)(x) = f (g(x))
B)the function f º g where ( f º g)(x) = g(f(x))
C)the function f · g where ( f · g)(x) = f (x) · g(x)
D)a diagram showing f and g
2

sum of f and g
A)the function f · g where (f · g)(x) = f(x) · g(x)
B)the function f + g where (f + g)(x) = f(x) + g(x)
C)the function f º g where (f º g)(x) = g(f(x))
D)the function obtained by adding the domains of f and g
3

inverse of the function f
A)a function with the same ordered pairs as f
B)the opposite of the function f
C)the function 1/f
D)a function in which the ordered pairs of f are reversed
4

one-to-one function
A)a constant function
B)a function that pairs 1 with 1
C)a function in which no two ordered pairs have the same first coordinate and different second coordinates
D)a function in which no two ordered pairs have the same second coordinate and different first coordinates
5

vertical-line test
A)a visual method for determining whether a graph is a graph of a function
B)a visual method for determining whether a function is one-to-one
C)using a vertical line to check a graph
D)a test on vertical lines
6

horizontal-line test
A)a test that horizontal lines must pass
B)a visual method for determining whether a function is one-to-one
C)a graph that does not cross the x-axis
D)a visual method for determining whether a graph is a graph of a function
7

proportionality constant
A)a direct variation
B)a constant proportion
C)a ratio that is constant
D)the constant k in y = kx
8

y varies directly as x
A)y = kx2 where k is a constant
B)y = mx + b where m and b are nonzero constants
C)y = kx where k is a nonzero constant
D)y = k/x where k is a nonzero constant
9

y varies inversely as x
A)y = x/k where k is a nonzero constant
B)y = -x
C)y = kx where k is a nonzero constant
D)y = k/x where k is a nonzero constant
10

zero of a function
A)a number a such that f (0) = a
B)a number a such that f (a) = 0
C)the value of f (0)
D)the number zero
11

reflection in the x-axis
A)the graph of y = f(-x)
B)the graph of y = -f(x)
C)the graph of y = -f(-x)
D)the line of symmetry
12

upward translation
A)the graph of y = f(x) + c for c > 0
B)the graph of y = f(x + c) for c < 0
C)the graph of y = f(x - c) for c > 0
D)the graph of y = f(x) + c for c < 0
13

translation to the left
A)the graph of y = f(x) - c for c > 0
B)the graph of y = f(x) + c for c > 0
C)the graph of y = f(x - c) for c > 0
D)the graph of y = f(x + c) for c > 0