Ch 8 Test

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Which of the following describes the end behavior of y= -3 (6)^x-2 +3

• y approaches positive infinity

• y approaches negative infinity

• y approaches 0

• y approaches 3

• As x approaches positive infinity, y approaches negative infinity

• As x approaches positive infinity, y approaches 2

• It has a zero at (1, 0)

• It has no x-intercept

Suppose that the population of Great Blue Herons in South Florida, since 1992 is modeled by a function defined by P(t)=4000⋅e^0.0246t, where t is the number of years since the population was first measured. Based on this model, the initial population of Great Blue Herons in South Florida doubles by the year

• 28

• 2020

• 8000

• 2018

• The y-intercept is(0,−4)

• The function has two x-intercepts

• The function is decreasing

• The y -intercept is ( 0, -2)

• The function is increasing

Scientists are studying the transmission rate of a virus in mice. To begin the experiment, 7 mice are infected with the virus and are released into a larger population. The function P(t)=7e^0.0942tcan be used to estimate the number of infected mice after t hours as shown on the coordinate grid. What is the viable range?

• [7,∞)

• [0,∞)

• (-∞,∞)

• (-∞,7)

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• 0 and 1

• 1 and 2

• -1 and -2

• 0 and -1

• y =-3

• y=3

• y=-2

• y=2