Part 1 | Test 4 | Time: 1 hour |
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- Is the following statement true? Carefully explain your
reasoning:

For any real numbers*a*and*b*, - Use your calculator to solve the following equation graphically.
You may need to adjust the range on the calculator. Round your
answers to two decimal places.
- The function is neither even nor odd.
For the following questions, be sure to show all work and reasoning.
**a.**- Is there a real number
*K*such that the new function*f*(*x*+*K*) is an even function? If so, find*K*. If not, explain why not. **b.**- Is there a real number
*M*such that the new function*f*(*x*+*M*) is an odd function? If so, find*M*. If not, explain why not.

- Consider the functions and . Compute . What is the domain of ?
- For each of the following functions, determine whether it has an
inverse. If so, find it. If not, explain why not.
**a.**- .
**b.**- .
**c.**- .

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