Question

Consider the function f(a) = 84 sin ( 3 π a ) 7 . The output quantity of f is measured in millimeters. Match the following expressions with the appropriate quantities. (You may use an answer more than once or some not at all.)

a) the input of f
b) the vertical distance above the horizontal diameter measured in radius lengths
c) the argument of sine
d) the maximum value of f
e) the radius of the rotation in millimeters
f) the midline of the graph of f
g) the amplitude of the graph of f
h) angle measure swept counter-clockwise from 3 o'clock position
i) the minimum value of f
j) the vertical distance above the horizontal diameter (measured in millimeters)

a. 82
b. 6a
c. 92
d. 82 sin(6(a + pi))
e. 69a + pi)
f. 10
g. a
h. 82 sin(6(a + pi)) + 10
i. sin (6(a + pi))
j. -72

Answer 1

In the function f(a) = 84 sin (3 π a)7, the different expressions can be matched with quantities such as the input, vertical distance above the horizontal diameter, argument of sine, maximum value, radius of rotation, midline, amplitude, angle measure, minimum value, and vertical distance above the horizontal diameter (measured in millimeters).

Step-by-step explanation:

a) the input of f - a

b) the vertical distance above the horizontal diameter measured in radius lengths - g

c) the argument of sine - a

d) the maximum value of f - f

e) the radius of the rotation in millimeters - h

f) the midline of the graph of f - f

g) the amplitude of the graph of f - g

h) angle measure swept counter-clockwise from 3 o'clock position - h

i) the minimum value of f - j

j) the vertical distance above the horizontal diameter (measured in millimeters) - j