Exponential+Functions-Target+B-Comparing+Graphs-Practice+Problems

If your started with a function f(x) and changed it into g(x) describe how the function changes and what the end behavior of g(x) is. Use the applet below to check your conclusions.

math \text{1)} \ f(x)=2 \cdot 3^x \ \ \text{and} \ \ \ g(x)=2 \cdot 2^x math

math \text{2)} \ f(x)=1 \cdot 2^x \ \ \text{and} \ \ \ g(x)=-1 \cdot 2^x math

math \text{3)} \ f(x)=2 \cdot 2^x \ \ \text{and} \ \ \ g(x)=2 \cdot \Big( \dfrac{1}{2} \Big)^x math

math \text{4)} \ f(x)=2 \cdot 3^x \ \ \text{and} \ \ \ g(x)=\Big( \dfrac{1}{3} \Big) \cdot 3^x math

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Using a 10 by 10 graph sketch the function given and compare to f(x)=2 x. Also comment on the end behavior. Use the applet above to check your answers.

math \text{5)} \ h(x)=\text{-}2 \cdot 2^x math

math \text{6)} \ k(x)=2 \cdot 4^x math

math \text{7)} \ m(x)= \Big( \dfrac{1}{4} \Big)^x math

Create a function that has the following characteristics: math \text{8)} \ \text{Has a y-intercept of} \ 3 \\ \ \ \ \ \text{As} \ x \rightarrow \ \text{-} \infty \ \text{then} \ f(x) \rightarrow \ 0 \\ \ \ \ \ \text{As} \ x \rightarrow \ \infty \ \text{then} \ f(x) \rightarrow \ \infty \\ math

math \text{9)} \ \text{Has a y-intercept of} \ \text{-} \dfrac{1}{2} \\ \ \ \ \ \text{As} \ x \rightarrow \ \text{-} \infty \ \text{then} \ f(x) \rightarrow \ 0 \\ \ \ \ \ \text{As} \ x \rightarrow \ \infty \ \text{then} \ f(x) \rightarrow \ \text{-} \infty \\ math

__**TARGET REVIEW**__
10) Write an equation of a line in standard form passing through the points: (4, -2) and (8, -4).

11) Graph the line: y + 2 = -(x - 4).

12) Write the following in function form: 2x - 4y = 12