Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).f(x) = 
sin 
; g(x) = sin x
A. Horizontal stretch by a factor of 
, vertical stretch by a factor of 2
B. Horizontal shrink by a factor of 
, vertical shrink by a factor of 
C. Horizontal stretch by a factor of 
, vertical shrink by a factor of 
D. Horizontal stretch by a factor of 2, vertical shrink by a factor of 
Answer: C
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Find the average rate of change for the function between the given values.f(x) = x2 + 8x; from 1 to 7
A. 
B. 15
C. 16
D. 
Solve the problem.In a chemistry class, 5 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?
A. 1.5 L B. 5.0 L C. 2.5 L D. 3.5 L
Solve the problem.The amount of money, in billions of dollars, spent on health care that was covered by insurance in a certain country in a particular year can be approximated by the function 
where x represents the number of years after 2005. The amount of money, in billions of dollars, spent on health care that was paid out of pocket in a certain country in a particular year can be approximated by the function 
where again x represents the number of years after 2005. (i) Find (f - g)(x). Explain, in your own words, what this function represents.(ii) Find (f -
g)(60). Explain, in your own words, what this number represents. A. (i) (f - g)(x) = x2 + 5x + 130; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 2005. (ii) 4030; health-care costs covered by insurance will be $4,030,000,000,000 higher than health-care costs that are paid out of pocket in 2065. B. (i) (f - g)(x) = x2 + 5x + 130; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 2005. (ii) 4030; health-care costs covered by insurance will be $4,030,000,000,000 less than health-care costs that are paid out of pocket in 2065. C. (i) (f - g)(x) = x2 - 23x - 428; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 2005. (ii) 1792; health-care costs covered by insurance will be $1,792,000,000,000 higher than health-care costs that are paid out of pocket in 2065. D. (i) (f - g)(x) = x2 - 23x - 428; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 2005. (ii) 1792; health-care costs covered by insurance will be $1,792,000,000,000 less than health-care costs that are paid out of pocket in 2065.
Evaluate the definite integral using the definition.
A. 4 B. 16 C. 32 D. 64