9
QuizMultiple Choice

Functions and Transformations — Quiz

Question 9 • Trigonometry/Pre-calculus

The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f⁡(x)=50+10⁢log⁡x. Suppose each of the x objects increases its sound power by 10 decibels, so that the new total sound power, in decibels, is given by the function g⁡(x)=f⁡(x)+10. Which shows the graphs of f of x and g of x ?

Answer
A
Image with description On a coordinate plane y = f (x) starts at (0, 50) and curves up through (10, 60). y = g (x) starts at (0, 40) and curves up through (10, 50).
B
Image with description On a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60).
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