Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. If a problem asks you to make a prediction or generalization, the “Look for a Pattern” strategy
may be appropriate.
2. If a problem asks “in how many ways” the “Look for a Pattern” strategy may be appropriate.
3. The fourth term in the sequence 3, 5, 7, . . . must be 9.
4. If a large cube is made up of 64 smaller cubes, then it has 16 cubes showing on each face of the
larger cube.
5. Patterns in data may be easier to see if we arrange the data in tables.
1. T
2. F: It is “Make a Table.”
3. F—The fourth term might be 11 (Sequence of primes.).
4. T
5. T
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Find the directrices of the ellipse.144x2 + y2 = 144
A. x = ± 
B. y = ± 
C. y = ± 
D. x = ± 
Use the fundamental identities to simplify the expression.
A. cos x B. sin2 x C. cos2 x D. sin x
Use an analytic method to solve the equation.
- 
= 3
A. {-2} B. {3, 8} C. {2, 38} D. {2}
Solve the problem.The rate of growth of the profit (in millions) from an invention is approximated by 
where x represents time measured in years. The total profit in year 1 that the invention is in operation is $30,000. Find the total profit function. Round to three decimal places where appropriate.
A. P(x) = -0.5e-x2 + 0.214 B. P(x) = -0.5e-x2 - 214,000 C. P(x) = -0.5e-x2 + 214,000 D. P(x) = -0.5e-x2 - 0.214