MP4 Concepts review NO Calculator

Which pair of functions has the same asymptote?

• y = log(x - 3) and y = log(x) - 3

• y = log(x - 3) and y = -log(x + 3)

• y = log(x) - 3 and y = -log(x) - 3

• y = log(x + 3) and y = 3 log(x)

A student used software to graph the function y = log(x). Then he used the software to reflect the graph across the x-axis and shift it 4 units right and 1 unit down. Which function matches the resulting graph?

• y = -log(x) - 4

• y = -log(x+4) + 1

• y = -log(x - 4)-1

• y = -log(x + 1)-4

There were no mice in Australia before 1788 when 50 mice were introduced. By 1920 the population of mice had reached 20 billion. If the population had grown exponentially, this would correspond to a 21.2% increase, on average, in the population each year. Which of the following functions best models the population p(t) of mice t years after 1788?

• Camilla is correct, both answers are solutions to the equation.

• Camilla is incorrect. Neither answer is a solution to the equation. She made an error in solving the problem.

• Camilla is half correct. Only x = 9 can be a solution to a log equation because negative numbers have no logs.

• Camilla is half correct. Only x = −1 is a solution to a log equation because the number 9 cancels out with the base.

The y-values of a data set increase and then decrease as the x-value increase. Which of the following models is most likely to fit the data?

• y = 0.35x² − 4.56x − 1.02

• y = −1.25x² + 3.88x + 2.51

• y = 1.41(0.96)ˣ + 5.12

• y = −3.05x + 4.61