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) =3*0-2*0+1 = 1
b) f(1)= 3*1-2*1+1=2
c) f(-1) = 3*1-2*(-1)+1=6
d) f(10)=3*100-2*10+1=281
e) f(-3)=3*9-2*(-3)+1 = 34
f) f(2a) = 3*(4a2)-2*2a+1 = 12a2 -4a+1

24
Answer
a) g(4) = |4-1| = 3
b) g(-2) = | -2-1| = |-3| =3
c) g(-1)= |-1-1| = |-2| =2
d) g(100) =|100-1| =99
e) g(5a) =|5a-1|
f) g(a+1) = |a+1-1| = |a|

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 M(x) = 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?

A. bone =30 cm
Humerus is given by
M(30) = 2.89*30-70.64 = 16.06 cm

B. bone =35 cm
Humerus is given by
M(35) = 2.89*35-70.64 = 30.51 cm

Graph the function.

42. f(x) = |x| - 4

x f(x)
-3 -1
-2 -2
-1 -3
0 -4
1 -3
2 -2
3 -1

x f(x)
-5 0
-4 -3
-3 -4
-2 -3
-1 0
0 5
1 12