Part 1 | Test 1 | Time: 1 hour |
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- Graph the function and answer the following questions:
- Determine the interval(s) where the function
*f*(*x*) is increasing. Decreasing. - Determine the relative minimum and maximum values of the function.
- Determine all the intercepts.
- Determine whether
*f*(*x*) is an odd function, an even function, or neither.

- Determine the interval(s) where the function
- Let
*A*=(3,1),*B*=(7,-4) , and*C*=(10,9).- Find an equation for the circle passing through the point
*B*centered at*A*. - Is point
*C*inside or outside of this circle? Prove your answer.

- Find an equation for the circle passing through the point
- Let and let .
- What is the domain of each function?
- If the domain of both functions is restricted to , does
*f*(*x*) become invertible? Does*g*(*x*) become invertible? - What is the domain of ?

- Solve for
*x*in the following equation: - Consider the algebraic expression
Find the domain of the expression and simplify the expression completely.

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