6. Exponential & Logarithmic Functions

The Number e

6. Exponential & Logarithmic Functions

# The Number e - Video Tutorials & Practice Problems

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## The Number e

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Problem

ProblemGraph the given function.

$g\left(x\right)=e^{x+3}-1$

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PRACTICE PROBLEMS AND ACTIVITIES (28)

- In Exercises 1–4, the graph of an exponential function is given. Select the function for each graph from the f...
- In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 3^√5
- Solve each equation. Round answers to the nearest hundredth as needed. (1/4)^x=64
- In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. e^-0...
- In Exercises 5–9, graph f and g in the same rectangular coordinate system. Use transformations of the graph of...
- In Exercises 11–18, graph each function by making a table of coordinates. If applicable, use a graphing utilit...
- For ƒ(x) = 3^x and g(x)= (1/4)^x find each of the following. Round answers to the nearest thousandth as needed...
- In Exercises 11–18, graph each function by making a table of coordinates. If applicable, use a graphing utilit...
- For ƒ(x) = 3^x and g(x)= (1/4)^x find each of the following. Round answers to the nearest thousandth as needed...
- In Exercises 19–24, the graph of an exponential function is given. Select the function for each graph from the...
- For ƒ(x) = 3^x and g(x)= (1/4)^x find each of the following. Round answers to the nearest thousandth as needed...
- In Exercises 25-34, begin by graphing f(x) = 2^x. Then use transformations of this graph to graph the given fu...
- Graph each function. See Example 2. ƒ(x) = 3^x
- In Exercises 25-34, begin by graphing f(x) = 2^x. Then use transformations of this graph to graph the given fu...
- Graph each function. See Example 2. ƒ(x) = (1/10)^-x
- The figure shows the graph of f(x) = e^x. In Exercises 35-46, use transformations of this graph to graph each ...
- The figure shows the graph of f(x) = e^x. In Exercises 35-46, use transformations of this graph to graph each ...
- In Exercises 47–52, graph functions f and g in the same rectangular coordinate system. Graph and give equation...
- Graph each function. Give the domain and range. See Example 3. ƒ(x) = 2^(x+3) +1
- Use the compound interest formulas A = P (1+ r/n)^nt and A =Pe^rt to solve exercises 53-56. Round answers to t...
- Graph each function. Give the domain and range. See Example 3. ƒ(x) = (1/3)^(x+2)
- Use the compound interest formulas A = P (1+ r/n)^nt and A =Pe^rt to solve exercises 53-56. Round answers to t...
- Graph each function. Give the domain and range. See Example 3. ƒ(x) = -(1/3)^(x-2) + 2
- In Exercises 61–64, give the equation of each exponential function whose graph is shown.
- In Exercises 61–64, give the equation of each exponential function whose graph is shown.
- Solve each equation. See Examples 4–6. (5/2)^x = 4/25
- Solve each equation. See Examples 4–6. x^5/2 = 32
- Solve each equation. See Examples 4–6. (1/e)^-x = (1/e^2)^(x+1)