The function $$f$$ is given by $$f\left(x\right)=4\left(\frac{2}{3}\right)^x$$ . Which of the following best describes the end behavior of $$f$$ ?

$$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty$$ and $$\lim_{x\rightarrow\infty}f\left(x\right)=0$$

$$\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty$$ and $$\lim_{x\rightarrow\infty}f\left(x\right)=\infty$$

$$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty$$ and $$\lim_{x\rightarrow\infty}f\left(x\right)=-\infty$$

$$\lim_{x\rightarrow-\infty}f\left(x\right)=0$$ and $$\lim_{x\rightarrow\infty}f\left(x\right)=\infty$$

The figure shows six data points in a semi-log plot, where the vertical axis is logarithmically scaled, as well as the residual plot that results when the regression $$P$$ is used to model the given data. Which of the following statements about the regression model is true?

The model P is linear, and the model was not appropriate.

The model P is linear, and the model was appropriate.

The model P is exponential, and the model was appropriate.

The model P is exponential, and the model was not appropriate.

AP Precalculus Mixed Review

Authored by Linda Solval

Mathematics

11th Grade

CCSS covered

Used 5+ times

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