Which function is shown in the graph below?





The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

For what value of x does ?

What is the range of the function f(x) = –2(6x) + 3?




An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

Which of the following shows the graph of y = –(2)x – 1?




For what values of x does ?



The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

Which function has a horizontal asymptote of y = 3?
If , what is the value of x?

If , what is the value of x?



Jerome solved the equation below by graphing.Which of the following shows the correct system of equations and solution?





What is the range of ?

What is the solution to





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