Evaluating Functions and Applications of Functions
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7.1
Determine whether the correspondence is a function.
8. Domain Range
Colorado State University
University of Colorado ____________ > Colorado All three colleges points to college
University of Denver
Gonzaga University
University of Washington Washington All the colleges points to Wash.
Washington State Universtiy
2
22. f(x) = 3x - 2x + 1
a. f(0) b. f(1)
c.f(-1) d. f(10)
e.f(-3) f. f(2a)
24. g(t) = |t - 1|
a) g(4) b) g(-2)
c) g(-1) d) g(100)
e g(5a) f) g(a + 1)
JUST READ THIS PROBLEM BUT DON'T ANSWER BUT USE IT FOR 28.
27. The function H described by H (x) = 2.75x + 71.48 can be used to determine the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long. If a humerus is known to be from a female, how tall was she if the bone is (a) 32cm long? (b) 35 cm long?
28. Refer to Exercise 27. When a humerus is from a male, the function
M9x) = 2.89x + 70.64 can be used to find the male's height, in centimeters. If a humerus is known to be from a male, how tall was the male if the bone is (A) 30 cm long? (B) 35 cm long?
Graph the function.
42. f(x) = |x| - 4
X f(x)
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0 blank
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2
48. f(x) = x + 6x + 5
X f(x)
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Evaluating Functions and Applications of Functions are investigated. The solution is detailed and well presented.
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7.1
Determine whether the correspondence is a function.
Domain Range
Answer
A function relates each of its inputs to exactly one output. Here the first set of colleges is mapped to more than one point in the range. Thus the given correspondence in not a function
22
Answer
a) f(0) ...
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