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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 = kx
2
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
2002 McGraw-Hill Higher Education
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